When Roshel was 44 years old, her son was 5 times her daughter's age. Roshel would be twice her son's age when her daughter was 26 years old. How old would Roshel be when her daughter was 16 years old?

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

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

Difference in Roshel's and her son's ages at first
44 - 5 u = 2 p - 1 p
44 - 5 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
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 Roshel and her daughter
= 44 - 1 u
= 44 - 2
= 42

Roshel's age when her daughter was 16 years old
= 42 + 16
= 58

Answer(s): 58