When Victoria was 44 years old, her daughter was 3 times her son's age. Victoria would be twice her daughter's age when her son was 24 years old. How old would Victoria be when her son was 3 years old?

	Victoria	Daughter	Son
Before	44	3 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	24

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

Difference in Victoria's and her daughter's ages at first
44 - 3 u = 2 p - 1 p
44 - 3 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
3 u - 1 u = 1 p - 24
2 u + 24 = 1 p --- (2)

Make p the same.

(1) = (2)
44 - 3 u = 2 u + 24
2 u + 3 u = 44 - 24
5 u = 20

1 u = 20 ÷ 5 = 4

Age difference between Victoria and her son
= 44 - 1 u
= 44 - 4
= 40

Victoria's age when her son was 3 years old
= 40 + 3
= 43

Answer(s): 43