Question

Parul is one-fifth the age, her mother was 15 years ago and parul's brother is three-fifths the, age her mother was 10 years ago. If the sum of parul's and her brother's ages is 31, then how old is parul's mother?

Answer 1

Answer:

Parul's mother's present age = 50

Step-by-step explanation:

In the question,

Let the age of the Parul's mother 15 years ago = x

So,

Parul's mother present age = (x + 15)

Now,

Parul's present age = $\frac{x}{5}$

Now,

Parul's mother age 10 years ago = (x + 5)

So,

Parul's Brother's present age = $\frac{3(x+5)}{5}$

Also,

Sum of Parul's brother's age and Parul's age = 31

So,

$\frac{3(x+5)}{5} +\frac{x}{5}=31\\\frac{4x}{5}=28\\x=35\ years$

Therefore, Parul's Mother's Present age is = x + 15 = 35 + 15 = 50 years