Question

The ages of two persons A and B are in the ratio 7:5 .Ten years hence,the ratio of their ages will be 9:7.Find their ages.

Answer 1

A : B = 7 : 5

A = 7x

B = 5x

10 years:

A = 7x + 10

B = 5x + 10

(7x + 10)/(5x + 10) = 9/7

9(5x + 10) = 7(7x + 10)

45x + 90 = 49x + 70

4x = 20

x = 5

A = 7x = 7(5) = 35

B = 5x = 5(5) = 25

Answer: A = 35, B = 25

Answer 2

HEY Buddy.....!! here is ur answer..

Let the present age of A is 7x and B is 5x

Given that after 10 years the ratio of their ages will be 9:7

Then, According to the question...

(7x+10)/(5x+10) = 9/7

=> 49x+70 = 45x+90

=> 49x–45x = 90–70

=> 4x = 20

=> x = 5

Thus the present ages of A = 7x = 7×5 = 35 yrs

and B = 5x = 5×5 = 25yrs

I hope it will be helpful for you..!!

THANK YOU ✌️✌️