When Raeann was 30 years old, her daughter was 2 times her son's age. Raeann would be twice her daughter's age when her son was 24 years old. How old would Raeann be when her son was 5 years old?

	Raeann	Daughter	Son
Before	30	2 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	24

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

Difference in Raeann's and her daughter's ages at first
30 - 2 u = 2 p - 1 p
30 - 2 u = 1 p --- (1)

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

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

Make p the same.

(1) = (2)
30 - 2 u = 1 u + 24
1 u + 2 u = 30 - 24
3 u = 6

1 u = 6 ÷ 3 = 2

Age difference between Raeann and her son
= 30 - 1 u
= 30 - 2
= 28

Raeann's age when her son was 5 years old
= 28 + 5
= 33

Answer(s): 33