When Yoko was 33 years old, her son was 2 times her daughter's age. Yoko would be twice her son's age when her daughter was 24 years old. How old would Yoko be when her daughter was 14 years old?

	Yoko	Son	Daughter
Before	33	2 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	24

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

Difference in Yoko's and her son's ages at first
33 - 2 u = 2 p - 1 p
33 - 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 - 24
1 u + 24 = 1 p --- (2)

Make p the same.

(1) = (2)
33 - 2 u = 1 u + 24
1 u + 2 u = 33 - 24
3 u = 9

1 u = 9 ÷ 3 = 3

Age difference between Yoko and her daughter
= 33 - 1 u
= 33 - 3
= 30

Yoko's age when her daughter was 14 years old
= 30 + 14
= 44

Answer(s): 44