Aptitude - Problems on Ages - Discussion

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.

A man is 24 years older than his son.

Let us take son's age as X. So, father's age will be X+24.

In two years, son's age X+2.

Father's age X+24+2 = X+26.

His (Father's) age will be twice the age of his son.

X+26 = 2(X+2) (Twice the age of his son. So twice Son's age).

X+26 = 2X+4.

22 = X.

By solving, X = 22.

I think 20 is the correct answer.

Why can't we take father's age is 24x instead of 24+x. Can anyone explain?

@Ranjani cleared my doubt. Thank you @Rajani. You have a teaching skills.

Please explain for me.

I agree with you @Yash.

The present age of the son should be 20.

If not please explain.

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.

Guys.

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

@Alisha and Yash,

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