Aptitude - Problems on Ages - Discussion

Please explain for me.

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.

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

Son age x,

Father age x+24,

After two year mean you will add 2 in both side.

(x+24+2) = (x+2).

Father age is twice as son age i.e. (x+24+2) = 2(x+2).

x+26 = 2x+4.

::22 = x.

But in question he asked present age of son so we have to subtract 2 the answer will be 20 right?

He said father's age will be twice not son's age.

If assume son age is x so father age will be 2x.

As we solved x = x+2 and x+2+24.

Please correct me?

Father is 42 years old and his son is 16 years old. How many years will father's age be 2 times of his son's age? used equation.

I'm a commerce background student, Please explain each with step by step.