Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 3)
3.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
14 years
19 years
33 years
38 years
Answer: Option
Explanation:

Let the son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.

Discussion:
99 comments Page 7 of 10.

Jeetu sharma said:   9 years ago
Father said "I was as old as you are at the present at the time of your birth" means that;

When son born that time age of the father is equal to the present age of his son.

The present age of his son = x.
Then father age = 2x at the current time.

So, x = 38/2 = 19.

Before 5 years = 19 - 5 = 14.

14 is the answer.

Saravanan said:   9 years ago
Let the son's present age be x years.

Then, (38 - x) = x -> Why 'x' is subtracted from 38?

2x = 38 -> how 2x = 38 its not mentioned in the question?

Sri said:   9 years ago
How 38 - x = x? Pease explain me.

Shashi said:   9 years ago
At present:
Age of son = x.
Age of father = 38.

At birth time of son:
Age of son = 0
Age of father = x.

As father grew son will also grow.
x - 0 = 38 - x

Think like person started at the same time and same speed but from the different location. Distance travelled by both will be same.

Usharani T said:   9 years ago
Can you solve the problem accurately when the father's age is an odd number?

Siva said:   9 years ago
Explain this 38 - x = x.

Chiranjeevi said:   8 years ago
@Siva.

In the question, "I was as old as you are at the present at the time of your birth"
Son's present age = Father age when son was born.

In the question father age=38, let son age be 'x'.
Father present age - son present age = father age when son was born ( i.e., son present age)
38 - x = x.
38 = 2x.
x = 19.
Sons age 5 years back x-5 = 19-5 ==>x = 14.
(1)

Dhanush said:   8 years ago
Son's age would always be half of father's age no matter what the father age is !

Because let say son age is 'x' now. When son born father age is also 'x'. So when son grew up and reach 'x', now father would be 2x.

So to find son age just divide fathers age by 2 (2x / 2 = x (son age) ).

Simple example: let say father age is 40.

0 x 20.
Son = <---------------->.
0 x 20 x 40.
Father= <-----------------><--------------->.

Then son ages - 5 = answer.

Karthick said:   8 years ago
How 2x came? Explain.

Priya said:   8 years ago
@ALL.

X going to other side gives x and x give 2x here.


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