Aptitude - Problems on Ages - Discussion

@Lucky.

Thank you, You cleared my doubt.

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.

@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.

Guys.

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

Can anyone explain how (x+24)+2 is formed?

Father is 24 yrs older than son
after 2 yrs father will be twice so we write father2 and son 1
so difern b/w 2 and 1 is of =1
so the value of 1 is 24.
24 * 2 =48,
24 * 1=24,
48-2 yrs = 46.
24-2=22 answer.

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

@ALL.

Let
x be fathers age,
y be sons age,
so,
present age,
equ (i)... ..
x=y+24,
after 2 yrs,
equ (ii)... ..
x+2=2(y+2) -------{by rewriting x= 2y+2},


Because 2 will be added in their present age i.e in x & y, and not in equ (i)
Then (x+2 fathers age) will be = 2 * (the age of son y+2).

then put value of x from equ (ii) in equ (i) to get y(sons age).
i.e y=22.

I don't know why the answer is 22?

It must be 20 years, because you have to find the present age not the age after 2 years.

So, 2 years must be subtracted from 22 to get the true answer.

I think it should be 20 years because present age is asked.