Question

A mother is 24 years older than her daughter. a. If the daughter is w years old, how old is the mother? b. If the ratio of their ages is 5:2, find the age of the daughter.​

Answer 1

a. If the daughter is w years old, the mother is w + 24 years old.

b. If the ratio of their ages is 5:2, then the mother is 5 times as old as the daughter. So, the mother's age is 5w and the daughter's age is 2w. Setting these equal, we have:

5w = 2w + 24
3w = 24
w = 8

So, the daughter is 8 years old and the mother is 5 * 8 = 40 years old