Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 6)
6.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
14 years
18 years
20 years
22 years
Answer: Option
Explanation:

Let the son's present age be x years. Then, man's present age = (x + 24) years.

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

x + 26 = 2x + 4

x = 22.

Discussion:
94 comments Page 8 of 10.

Pronoy said:   7 years ago
How come 2 (x+2) ?

Pincy said:   7 years ago
Please explain me this (x+24)+2.

Faisal said:   7 years ago
It is Simple.

X is the age of son (added with the age of his father) and and 24 is the age of his father which increases by 2.

Sonam said:   7 years ago
Isn't it 20 years?

He is 22 years only after 2 years. To find the present don't we have to subtract 2years from 22?

Please tell me.

Vetri said:   7 years ago
I think 20 is the correct answer.
(1)

Arvy said:   7 years ago
X+26 = 2x + 4.
X = 22 where is 2x gone I don't get it, anyone please explain.

G Lohith Kumar said:   7 years ago
Good explanation. Thanks you all.

Pawan said:   7 years ago
@Ranjani.

According to equation 1, how come sons age be greater than father's age?

I didn't get this problem to please someone explain it to me.

Veeresh said:   7 years ago
Let's son age =x
Father age= -+24
The ration between father and son is always equal,
X=x+24.

After 2 years;
Father age also increases and don age also,
X+2= x+24+2.

But we have one condition,
After 2 years father age is twice than son age,

So.

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

Simplify;
2x-x =24+2-4,
X=22,
X is son age =22.


According to the question
When son age is 1-year father is 24 years.
1:24

Now, when son age is 22.

Father age= 22+24=46 years.

Snigda said:   7 years ago
Son's age = x,then father's age =x+24.
After 2 years the age of son is x+2.
Given that father's age is twice as the age of son's age,
Then father's age will be 2(x+2),
2(x+2)=x+24,
2x-x=24-2,
X = 22(present age of son).
(2)


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