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 7 of 10.

Lakshmi said:   1 decade ago
Hai friends.

x = x+24.

In two years x+2 = x+24+2.

In question, mentioned that the father age is twice of his son's age. then I think (x+26)2 = x+2.

Explain please?

Zain Ali said:   1 decade ago
@Deepak your method of doing is correct but you made 2nd equation wrong. it is after 2 years which means you should add 2 on both ages "x" and "y" and then make it twice as .

x+2= 2(y+2) solve it and you will get your answer.

Raashi said:   1 decade ago
@Deepak.

After 2 years means we have to had 2 for son's age also.

Adima said:   1 decade ago
let M be the present age of man and S be the present age of son
now,
Man is 24 years older than his son....
M=24+S --(eq1)
After two years he will be twice his sons age...
M=2+2S --(eq2)

Solving simultaneously we get S=22.

Deepak said:   1 decade ago
What's wrong with This method....

Let x be present age of man and y be present age of son.
Now,
Man is 24 years older than his son.So,
x = y + 24......(1)

Again acc to Question after two years he will be twice his sons age
x+2 = 2y......(2)
Solving eq (1) and (2)
y = 26

Deepak Lohani said:   1 decade ago
In question it is clearly said that man's age will be twice the age of his son. So we have added 2 on both sides i.e. X+24+2 and X+2, where we have multipied by 2 on son's age to make equation equal. Have you clear friends ?

Shilpa said:   1 decade ago
Son age=x
Father age=x+24
After 2 years father age will be twice than son age
There fore x+24+2=26+x---------->1
Son age after 2yrs (x+2)2------->2
Sub 1 n 2
x+26=4+2x
2x-x=26-4
x=22

Hemant said:   1 decade ago
Did not understood please explain why we add 2 for fathers age and multiply two for son's age in the equation: (X+24) +2= (x+2) 2.

Bhavvi said:   1 decade ago
Thanks ranjani.

Reddy said:   1 decade ago
Everybody follows Ranjani solution.she gave a nice solution.


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