Question

Age of Ramesh's father is 27 years more than Ramesh. After 5 years the
age of Ramesh and his father is 2:3. Find the present age of Father and
Ramesh.​

Answer 1

Answer:

Ramesh = x

Ramesh father = x+27

after 5 years

Ramesh = x+5

Ramesh father = x+27+5=x+32

2:3=2x:3x

x+5/x+32=2/3

x= 49 by solving

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Let the age of the Ramesh = x year

So, the age of father = ( x + 27 ) year

After 5 years , age of Ramesh = (x + 5) years

After 5 years , age of Father = x + 27 + 5 = x + 32

Now According to Question :

$\implies \bold{\frac{After \ 5 years , \ age \ of \ Ramesh }{After \ 5 \ years , \ age \ of \ Father} } = \bold{\frac{2}{3}}$

$\implies \bold{\frac{x + 5 }{x + 32}} = \bold{\frac{2}{3}}$

$\implies \bold{3(x + 5 ) = \bold{2(x + 32) }}$

$\implies \bold{3x + 15 = \bold{ 2x + 64}}$

$\implies \bold{3x - 2x = \bold{64 - 15}}$

$\implies \bold{ x = 49}$

Age of Ramesh x = 49 years

Age of Father x + 27 = 49 + 27 = 76 years