When Jade was 38 years old, her son was 3 times her daughter's age. Jade would be twice her son's age when her daughter was 23 years old. How old would Jade be when her daughter was 2 years old?

	Jade	Son	Daughter
Before	38	3 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	23

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

Difference in Jade's and her son's ages at first
38 - 3 u = 2 p - 1 p
38 - 3 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
3 u - 1 u = 1 p - 23
2 u + 23 = 1 p --- (2)

Make p the same.

(1) = (2)
38 - 3 u = 2 u + 23
2 u + 3 u = 38 - 23
5 u = 15

1 u = 15 ÷ 5 = 3

Age difference between Jade and her daughter
= 38 - 1 u
= 38 - 3
= 35

Jade's age when her daughter was 2 years old
= 35 + 2
= 37

Answer(s): 37