Question

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
A.16 years
B.18 years
C.28 years
D.24.5 years

Answer 1

Hey mate!

Here is your answer > >

Given ratio=7:9

Age of Sachin=7x

Age of Rahul=9x

According to question

7x=9x-7

7=9x- 7x

7=2x

x=7/2

x=3.5

Age of Sachin=7x=7×3.5=24.5 years

Hope it helps!

Thankyou ☆ ☆

Answer 2

$\huge{Hey\:Mate\:Here\:Is\:Your\:Answer}$

$\textbf{Given That ...}$

Ratio Of A Present Age Of Sachin And Rahul Is 7:9 .. , And it's Also Given That Sachin Is 7 years Younger Than

Rahul. And we Need To Find Age Of Sachin

So Now Let's Move Two Solution....

$\textbf{Solution .....}$

Now According To Question It's Said That Ratio Of Their Ages Are 7:9

So Let 'x' Be The constant Of Ratio.

Therefore Let ...

Sachin's Age = 7x

And

Rahul's Age = 9x

Now In Question It's Said That The Sachin's Be Is 7years lesser Than Rahul's Age

That is ...

Sachin's Age = Rahul's Age - 7

$\textbf{Now Putting Values Of Sachin's Age = 7x And Rahul's Age = 9x}$

We Have .....

$7x = 9x - 7$

Now Taking (9x) To LHS We Have .....

$7x - 9x = - 7$

That Is.....

$- 2x = - 7$

This Is Equal To ....

$x = \frac{ - 7}{ - 2}$

That Is .....

$\boxed{x = 3.5}$

$\textbf{So Now We Have X = 3.5 }$

Now Putting Value Of 'X' In Sachin's Age We Have ....

$\boxed{Sachin's Age = 7x = 7 × 3.5 = 24.5years}$

$\textbf{Hence The Required Answer Is .....}$

$\boxed{24.5 years}$

$\large{Be\: Brainly....}$