Question

The sum of ages of mother and daughter is 45 years.Five years ago the product of their ages was four times tge mothers age at that time.The present age of mother is?

Answer 1

Solution:

At present:

mother's age = x years

daughters age = (45-x) years

/* Given sum of ages of mother and daughter is 45 years */

5 years ago :

mother's age = (x-5) years

daughters age = (45-x-5 ) years

= (40-x) years

According to the problem given:

The product of their ages was four times the mothers age at that time.

(x-5)(40-x) = 4(x-5)

After cancellation, we get

=> 40-x = 4

=> -x = 4 - 40

=> -x = -36

=> x = 36

Therefore,

At present :

mother's age = x = 36 years

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