Age Difference worksheet

1. Age difference: 4 years, 1 month, 5 days

1. Person 1 was born first (Jul 23, 1988), so Person 1 is older

   $\text{Jul 23, 1988 < Aug 28, 1992}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jul 23, 1988 → Aug 28, 1992 = 4 years, 1 month, 5 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Aug 28, 1992}\text{−}\text{Jul 23, 1988}$$=\mathrm{1,497}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Aug 28, 1992}\text{+}\mathrm{1,497}\text{\hspace{0.17em}days}$$=\text{Oct 3, 1996}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{2,994}\text{\hspace{0.17em}days}$$=2\times \mathrm{1,497}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{1,497}\text{÷}365.2425$$=4.1\text{\hspace{0.17em}years}$

2. Age difference: 5 years, 5 months, 8 days

1. Person 1 was born first (May 2, 1989), so Person 1 is older

   $\text{May 2, 1989 < Oct 10, 1994}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{May 2, 1989 → Oct 10, 1994 = 5 years, 5 months, 8 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Oct 10, 1994}\text{−}\text{May 2, 1989}$$=\mathrm{1,987}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Oct 10, 1994}\text{+}\mathrm{1,987}\text{\hspace{0.17em}days}$$=\text{Mar 19, 2000}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{3,974}\text{\hspace{0.17em}days}$$=2\times \mathrm{1,987}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{1,987}\text{÷}365.2425$$=5.44\text{\hspace{0.17em}years}$

3. Age difference: 5 years, 8 months, 15 days

1. Person 1 was born first (Jul 11, 1988), so Person 1 is older

   $\text{Jul 11, 1988 < Mar 26, 1994}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jul 11, 1988 → Mar 26, 1994 = 5 years, 8 months, 15 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Mar 26, 1994}\text{−}\text{Jul 11, 1988}$$=\mathrm{2,084}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Mar 26, 1994}\text{+}\mathrm{2,084}\text{\hspace{0.17em}days}$$=\text{Dec 9, 1999}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,168}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,084}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,084}\text{÷}365.2425$$=5.71\text{\hspace{0.17em}years}$

4. Age difference: 4 years, 3 months, 12 days

1. Person 1 was born first (May 13, 1989), so Person 1 is older

   $\text{May 13, 1989 < Aug 25, 1993}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{May 13, 1989 → Aug 25, 1993 = 4 years, 3 months, 12 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Aug 25, 1993}\text{−}\text{May 13, 1989}$$=\mathrm{1,565}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Aug 25, 1993}\text{+}\mathrm{1,565}\text{\hspace{0.17em}days}$$=\text{Dec 7, 1997}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{3,130}\text{\hspace{0.17em}days}$$=2\times \mathrm{1,565}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{1,565}\text{÷}365.2425$$=4.28\text{\hspace{0.17em}years}$

5. Age difference: 6 years, 0 months, 17 days

1. Person 1 was born first (Jun 28, 1987), so Person 1 is older

   $\text{Jun 28, 1987 < Jul 15, 1993}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jun 28, 1987 → Jul 15, 1993 = 6 years, 0 months, 17 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Jul 15, 1993}\text{−}\text{Jun 28, 1987}$$=\mathrm{2,209}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Jul 15, 1993}\text{+}\mathrm{2,209}\text{\hspace{0.17em}days}$$=\text{Aug 2, 1999}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,418}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,209}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,209}\text{÷}365.2425$$=6.05\text{\hspace{0.17em}years}$

6. Age difference: 6 years, 2 months, 10 days

1. Person 1 was born first (Jul 11, 1987), so Person 1 is older

   $\text{Jul 11, 1987 < Sep 21, 1993}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jul 11, 1987 → Sep 21, 1993 = 6 years, 2 months, 10 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Sep 21, 1993}\text{−}\text{Jul 11, 1987}$$=\mathrm{2,264}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Sep 21, 1993}\text{+}\mathrm{2,264}\text{\hspace{0.17em}days}$$=\text{Dec 3, 1999}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,528}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,264}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,264}\text{÷}365.2425$$=6.2\text{\hspace{0.17em}years}$

7. Age difference: 6 years, 3 months, 13 days

1. Person 1 was born first (Jan 19, 1988), so Person 1 is older

   $\text{Jan 19, 1988 < May 2, 1994}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jan 19, 1988 → May 2, 1994 = 6 years, 3 months, 13 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{May 2, 1994}\text{−}\text{Jan 19, 1988}$$=\mathrm{2,295}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{May 2, 1994}\text{+}\mathrm{2,295}\text{\hspace{0.17em}days}$$=\text{Aug 13, 2000}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,590}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,295}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,295}\text{÷}365.2425$$=6.28\text{\hspace{0.17em}years}$

8. Age difference: 5 years, 1 month, 20 days

1. Person 1 was born first (Aug 9, 1987), so Person 1 is older

   $\text{Aug 9, 1987 < Sep 29, 1992}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Aug 9, 1987 → Sep 29, 1992 = 5 years, 1 month, 20 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Sep 29, 1992}\text{−}\text{Aug 9, 1987}$$=\mathrm{1,878}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Sep 29, 1992}\text{+}\mathrm{1,878}\text{\hspace{0.17em}days}$$=\text{Nov 20, 1997}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{3,756}\text{\hspace{0.17em}days}$$=2\times \mathrm{1,878}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{1,878}\text{÷}365.2425$$=5.14\text{\hspace{0.17em}years}$

9. Age difference: 5 years, 11 months, 4 days

1. Person 1 was born first (Jun 23, 1988), so Person 1 is older

   $\text{Jun 23, 1988 < May 27, 1994}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Jun 23, 1988 → May 27, 1994 = 5 years, 11 months, 4 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{May 27, 1994}\text{−}\text{Jun 23, 1988}$$=\mathrm{2,164}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{May 27, 1994}\text{+}\mathrm{2,164}\text{\hspace{0.17em}days}$$=\text{Apr 29, 2000}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,328}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,164}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,164}\text{÷}365.2425$$=5.92\text{\hspace{0.17em}years}$

10. Age difference: 6 years, 5 months, 15 days

1. Person 1 was born first (Aug 20, 1987), so Person 1 is older

   $\text{Aug 20, 1987 < Feb 4, 1994}$

2. Count whole years and months from the earlier birthday, then the remaining days

   $\text{Aug 20, 1987 → Feb 4, 1994 = 6 years, 5 months, 15 days}$

3. Count the same gap in days, which gives an exact figure that does not depend on month lengths

   $\text{Feb 4, 1994}\text{−}\text{Aug 20, 1987}$$=\mathrm{2,360}\text{\hspace{0.17em}days}$

4. Person 1 is exactly twice Person 2's age when Person 2's age equals the gap, which is one gap's worth of days after Person 2's birth

   $\text{Feb 4, 1994}\text{+}\mathrm{2,360}\text{\hspace{0.17em}days}$$=\text{Jul 22, 2000}$

5. Check: on that date the older person's age in days is twice the younger person's

   $\mathrm{4,720}\text{\hspace{0.17em}days}$$=2\times \mathrm{2,360}\text{\hspace{0.17em}days}$

6. As decimal years, divide the days by the average Gregorian year of 365.2425 days

   $\mathrm{2,360}\text{÷}365.2425$$=6.46\text{\hspace{0.17em}years}$