Question

The ratio of ages of Karina and Karishma is 6:7. After 12 years , ratio of their ages will be 12:13. Find their present ages.​

Answer 1

Given

Ratios of ages of Karina ,karishma=

$\frac{6}{7}$

Let the age of Karina is 6x

age of karishma is 7x

12 years after

The age of Karina is 6x+12

Age of karishma is 7x+12

But given ratio is

$\frac{12}{13}$

So

$\frac{(6x + 12)}{(7x + 12)} = \frac{12}{13}$

$13(6x + 12) = 12(7x + 12)$

$78x + 156 = 84x + 144$

$12 = 6x \\ x = 2$

$so \: present \: age \: of \: karina \: and \: karishma \: are \: 12 \: years \: and \: 14years$

since age of Karina is 6x,age of karishma is 7x