Question 1147130: Ian is 1/4 the age of his mother. In 5 years, his age will be 1/3 of his mother’s age. How old is Ian’s mother now? Answer by ikleyn(52814) (Show Source):
If x is Ian age, them his mother age is 4x.
In 5 years, Ian will be x+5 years old; his mother will be 4x+5 years old.
The condition says
3(x+5) = 4x + 5,
giving x = 10.
ANSWER. Ian's mother is 5*10 = 40 years old.
