When Tina was 36 years old, her son was 2 times her daughter's age. Tina would be twice her son's age when her daughter was 24 years old. How old would Tina be when her daughter was 5 years old?

	Tina	Son	Daughter
Before	36	2 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	24

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

Difference in Tina's and her son's ages at first
36 - 2 u = 2 p - 1 p
36 - 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)
36 - 2 u = 1 u + 24
1 u + 2 u = 36 - 24
3 u = 12

1 u = 12 ÷ 3 = 4

Age difference between Tina and her daughter
= 36 - 1 u
= 36 - 4
= 32

Tina's age when her daughter was 5 years old
= 32 + 5
= 37

Answer(s): 37