When Tiffany was 44 years old, her daughter was 5 times her son's age. Tiffany would be twice her daughter's age when her son was 26 years old. How old would Tiffany be when her son was 6 years old?

	Tiffany	Daughter	Son
Before	44	5 u	1 u
Change	+ ?	+ ?	+ ?
After	2 p	1 p	26

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

Difference in Tiffany's and her daughter's ages at first
44 - 5 u = 2 p - 1 p
44 - 5 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
5 u - 1 u = 1 p - 26
4 u + 26 = 1 p --- (2)

Make p the same.

(1) = (2)
44 - 5 u = 4 u + 26
4 u + 5 u = 44 - 26
9 u = 18

1 u = 18 ÷ 9 = 2

Age difference between Tiffany and her son
= 44 - 1 u
= 44 - 2
= 42

Tiffany's age when her son was 6 years old
= 42 + 6
= 48

Answer(s): 48