Question

the age of father is four times of his son after five years father will be five times as old as his son. what will be the present age of his son?​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

the age of father is four times of his son after five years father will be five times as old as his son.

To Find :

The present age of son

ㅤㅤㅤㅤ

Let the son's age be 'x'

and father's age be 4x

according to the question

father is four times of his son

$x = 4x......(1)$

After 5years father will be 5 times old as his son

$4x + 5 = 5(x + 5)$

$4x + 5 = 5x + 25$

$= >4x - 5x = 20$

$= > - x = 20$

Here value of x is negative but we take positive as age can't be negative value

∴Son's age is $\bold{\red{20 \:years }}$

Father's age is 4x=4×20=$\bold{\red{80 \:years}}$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

the age of father is four times of his son after five years father will be five times as old as his son.

To Find :

The present age of son

ㅤㅤㅤㅤ

Let the son's age be 'x'

and father's age be 4x

according to the question

father is four times of his son

$x = 4x......(1)$

After 5years father will be 5 times old as his son

$4x + 5 = 5(x + 5)$

$4x + 5 = 5x + 25$

$= >4x - 5x = 20$

$= > - x = 20$

Here value of x is negative but we take positive as age can't be negative value

∴Son's age is $\bold{\red{20 \:years }}$

Father's age is 4x=4×20=$\bold{\red{80 \:years}}$