When Tiffany was 43 years old, her son was 2 times her daughter's age. Tiffany would be twice her son's age when her daughter was 28 years old. How old would Tiffany be when her daughter was 24 years old?

	Tiffany	Son	Daughter
Before	43	2 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	28

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

Difference in Tiffany's and her son's ages at first
43 - 2 u = 2 p - 1 p
43 - 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 - 28
1 u + 28 = 1 p --- (2)

Make p the same.

(1) = (2)
43 - 2 u = 1 u + 28
1 u + 2 u = 43 - 28
3 u = 15

1 u = 15 ÷ 3 = 5

Age difference between Tiffany and her daughter
= 43 - 1 u
= 43 - 5
= 38

Tiffany's age when her daughter was 24 years old
= 38 + 24
= 62

Answer(s): 62