Daughter's age is one-fourth of her father's age. Five years hence, she will be one-third of his age. Further after five years, what will be the ratio of her age to that of her father?

Question

Question

This question was previously asked in

RRB JE Previous Paper 15 (Held On: 27 May 2019 Shift 1)

Answer 1

Mistake Points

Further 5 years means, we have to calculate 10 years hence in total.

Explanation:

Let the present age of father is x

And the present age of daughter is \(\frac{x}{4}\)

Therefore, five years hence their age will be:

\(\frac{x}{4} + 5 =\frac{1}{3}(x + 5)\)

3x + 60 = 4x + 20

∴ x = 40

So the present age of father is 40, and the present age of the daughter is 10.

Now the ratio of their ages after 10 years will be.

\(\frac{{10 + 10}}{{40 + 10}} = \frac{{20}}{{50}} = 2:5\)

Hence, "2 : 5" is the correct answer.