Question

At present Shyama's age is half the age of her father. 20 years ago her age was one fourth of the age of the father. What will be the age of Shyama after 10 years?

• A. $30$ years
• B. $40$ years
• C. $50$ years
• D. $60$ years

Answer 1

The correct option is B $40$ years

Let the present age of Shyama's father is $x$ so as per the statement, present age of Shyama will be $\frac{x}{2}$.
As mentioned i.e $20$ years ago, Shyama's age was one fourth that of her father
i.e
$\frac{x}{2}-20=\frac{x-20}{4}$
Solving this for $x$ we get $x=60$
Which means Shyama's present age is $30$ years.

So, she will be of $40$ years after $10$ years.