Question

A father said to his son, i was as old asyou are at the present at the time of ypur birth. If the father age is 38 year now, the son's age five year back was???

Answer 1

Question :

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 year now, then find the son's age five years ago.

Solution:

Let the present age of son be ;

x years

Also the present age of father is ;

48 years

According to the question;

At the time of birth of his son, the age of father was equal to the present age of his son.

=> 38 - x = x

=> x + x = 38

=> 2x = 38

=> x = 38/2

=> x = 19

Thus,

The present age of son is 19 years.

Hence,

Age of son five years ago was ;

(19-5) years ,ie; 14 years.

Answer 2

$\bold{\underline{\underline{Answer:}}}$

Age of son 5 years back was 14 years.

$\bold{\underline{\underline{Step\:-\:by\:-\:step\:explanation:}}}$

Given :

• Presently Father is as old as his son at the time of son's birth.
• Present age of Father = 38 years

To find :

• Son's age five years back (ago)

Solution :

Let the present age of Son be x years.

Let father's age at the time of son's birth be 38 - x years.

$\bold{\underline{\underline{As\:per\:tge\:question:}}}$

• Father's age is equal to son's age at the time of son's birth.

$\rightarrow$ 38 - x = x

$\rightarrow$ 38 = x + x

$\rightarrow$ 38 = 2x

$\rightarrow$ $\bold{\dfrac{38}{2}}$ = x

$\rightarrow$ 19 = x

•°• Present age of Son, x = 19 years

Now, we need to find the age of son 5 years ago. So, we can simply subtract '5' from the present age to get to the age of son 5 years back (ago).

•°• Age 5 years ago,

$\rightarrow$ x - 5

$\rightarrow$ 19 - 5

$\rightarrow$ 14

•°• Age of son 5 years back was 14 years.