The present sum of the ages of a mother and her daughter is 45 years.
Five years ago, the mother was 4 times as old as the daughter.
Find the daughter's present age (in years).

Question

The present sum of the ages of a mother and her daughter is 45 years. Five years ago, the mother was 4 times as old as the daughter. Find the daughter's present age (in years).

Accepted Answer

12. Let daughter now = x, mother now = 45 - x. Five years ago: daughter = x - 5, mother = 40 - x. 40 - x = 4(x - 5), 40 - x = 4x - 20, 60 = 5x, x = 12. Check: daughter 12, mother 33; 5 years ago 7 and 28, and 28 = 4 * 7. Daughter is 12 years old.

The present sum of the ages of a mother and her daughter is 45 years.
Five years ago, the mother was 4 times as old as the daughter.
Find the daughter's present age (in years).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Word Problems practice

The present sum of the ages of a mother and her daughter is 45 years.Five years ago, the mother was 4 times as old as the daughter.Find the daughter's present age (in years).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Word Problems practice

The present sum of the ages of a mother and her daughter is 45 years.
Five years ago, the mother was 4 times as old as the daughter.
Find the daughter's present age (in years).