Aptitude - Problems on Ages - Discussion

The Important thing is when man's age increases by two means son also grows by 2.
M = S + 24.
M+2 = (S+2) * 2.

S + 26 = 2S +4.
S = 22.

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

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.

I think 20 is the correct answer.

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.

Please explain for me.

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

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.

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.