Question

Sachin is younger than rahul by 4 yrs.if their ages in ratio of 7:9,how old in sachin

Answer 1

Let rahuls age be x and sachin's be y

y=x-4

y/x=7/9

x-4/x=7/9

9x-36=7x

2x=36

X=18

y=18-4
=14


Sachin's age is 14 years and rahuls age is 18 years

Answer 2

∴ Sachin age be $(18-4)=14$ yrs.

Step-by-step explanation:

Given;

Sachin is younger than Rahul by $4$ yrs.

And their age ratio is $7:9$

Let,

Rahul age be $x$ yrs.

Then Sachin age be $(x-4)$ yrs.

From given question;

  $\frac{(x-4)}{x} =\frac{7}{9}$

By cross multiplication,

⇒$9x-36=7x$

⇒$9x-7x=36$

⇒$2x=36$

∴ $x=18$

Rahul age be $18$ yrs.

And Sachin age be $(18-4)=14$ yrs.