Question

the age of Ramesh is equal to 4 time of his son's age 5 years before Ramesh ages is 9 times of his son's age find Ramesh age​

Answer 1

Let sons age be x
Ramesh age will be 4x

5 years ago

(4x-5)=9(x-5)
4x-5=9x-45
40=5x
x=8

Ramesh age is 32

Answer 2

Let the son's age be x years.

A/Q, Ramesh's age = 4 × son's age

=4x


$\underline{\textbf{five years before}}$

Son's age = x-5

Ramesh's age =4x-5

$\underline{\bf{But\: A/Q }}$

Ramesh's age = 9× son's age 5 years back

4x-5 =9(x-5)

4x-5 =9x-45

-5+45=9x-4x

40=5x

$\implies \sf \: \frac{40}{5} = x$


x=8


$\boxed{ \sf \: son \: age = 8 \: years}$


${ \sf \: ramesh \: age = 4x} \\ { \sf= 4 \times 8} \\ \boxed{ \sf \: 32 \: years }$