Aptitude - Problems on Ages - Discussion

Guys.

Because both father and son ages are increasing. If father age increases two years so sons are will be increased.

@All.

As some people said 22-2 =20 is answer.

I would say that better to check the options in this case if 20 is the answer after 2 years he will be 22 and his father will be 46 which is not twice relation so In this way you can verify your answer.

Son age x,
Father age x + 24,

(x + 24) = x -----------> equation 1.

After two year mean

[A]. 14 years + 2 = 16
[B]. 18 years + 2 = 20
[C]. 20 years + 2 = 22
[D]. 22 years + 2 = 24

Substitute [A].14 years + 2 = 16 in equation 1
(x + 24) = x
16 + 24 = 16
40 = 16 ( false ).

Substitute [B].18 years + 2 = 20 in equation 1.
(x + 24) = x
20 + 24 = 20
44 = 20 ( false ).

Substitute [C].20 years + 2 = 22 in equation 1.
(x + 24) = x
22 + 24 = 22
46 = 22 (false).

Substitute [D].22 years + 2=24 in equation 1.
(x + 24) = x
24 + 24 = 24
48 = 24
2[24] = 24 (true).

His age will be twice the age of his son.
So, the answer is Option D.

@Lucky.

Thank you, You cleared my doubt.

@Alisha and Yash,

We assume that the present age of son be "x" that is 22. We don't subtract 2 from that.

Let son's age = x,
Father is 24 years elder than the son, hence son's age = 24 + x,
In the question given that, after 2 years father age will be twice the age of the son.
So, (x + 24) + 2 = 2(x + 2) solve this.
The answer is 22.

I agree with you @Yash.

The present age of the son should be 20.

If not please explain.

Anyone can tell me why 2 is multiply with the son's age? Why not with the father age because father age will become the twice?

Please explain.

Its better to check given option. We will get easy answer in few sec.

Anyone can tell me why 2 is multiply with the son's age. Why not with the father age because father age will become the twice.

Please explain.