Question

Ramesh is younger than Suresh by 9 years. If their
ages are in the respective ratio of 7:9, now old is
Ramesh?
A. 31.5 years
B. 33.5 years
C. 24.5 years
D. 36.5 years
ple and A and B are the​

Answer 1

Given :  Ramesh is younger than Suresh by 9 years

their ages are in the respective ratio of 7:9,

To Find : How old is Ramesh?

A. 31.5 years

B. 33.5 years

C. 24.5 years

D. 36.5 years

Solution:

Ramesh is younger than Suresh by 9 years

Ramesh   R years

Suresh = R + 9 years

ages are in the respective ratio of 7:9,

=> R/(R + 9)  = 7/9

=> 9R  = 7R + 63

=> 2R  = 63

=> R = 31.5

Ramesh is 31.5  Year old

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Ramesh is younger than Suresh by 9 years. If their

ages are in the respective ratio of 7:9, now old is

Ramesh

A. 31.5 years

B. 33.5 years

C. 24.5 years

D. 36.5 years

EVALUATION

Here it is given that ages of Ramesh & Suresh are in the ratio 7 : 9

Let the age of Ramesh = 7x and age of Suresh = 9x

Now it is also stated that Ramesh is younger than Suresh by 9 years

So by the given condition

9x - 7x = 9

$\implies \sf{2x = 9}$

$\implies \sf{x = 4.5}$

Hence age of Ramesh

= 7 × 4.5 years

= 31.5 years

FINAL ANSWER

Hence the correct option is A. 31.5 years

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