Question

the ages of John and brown are in the ratio 9:5 And 10 years hence the ratio of their ages will be 11:7. Fine the present ages

Answer 1

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

Let, the present age of John and Brown are 9x and 5x respectively.

10 years hence their ages will be (9x+10) and (5x+10).

Now, according to the question :

$\frac{9x + 10}{5x + 10} = \frac{11}{7} \\ \\ = > 63x + 70 = 55x + 110 \\ \\ = > 63x - 55x = 110 - 70 \\ \\ = > 8x = 40 \\ \\ = > x = \frac{40}{8} = 5$

Now, Present age of John = 9x = 9×5 = 45 years and Brown = 5x = 5×5 = 25 years.

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

THANK YOU ✌️✌️