When Ivory was 29 years old, her son was 2 times her daughter's age. Ivory would be twice her son's age when her daughter was 23 years old. How old would Ivory be when her daughter was 5 years old?

	Ivory	Son	Daughter
Before	29	2 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	23

The difference in the ages between Ivory and her son remains unchanged.

Difference in Ivory's and her son's ages at first
29 - 2 u = 2 p - 1 p
29 - 2 u = 1 p --- (1)

The difference in the ages between her son and her daughter remains unchanged.

Difference in her son's and her daughter's ages at first
2 u - 1 u = 1 p - 23
1 u + 23 = 1 p --- (2)

Make p the same.

(1) = (2)
29 - 2 u = 1 u + 23
1 u + 2 u = 29 - 23
3 u = 6

1 u = 6 ÷ 3 = 2

Age difference between Ivory and her daughter
= 29 - 1 u
= 29 - 2
= 27

Ivory's age when her daughter was 5 years old
= 27 + 5
= 32

Answer(s): 32