Question

Radha is 19 year younger than her cousin. After 5 years their ages will be in the ratio 2:3.find their parent ages.

Answer 1

I hope it will help you

Answer 2

GIVEN:-

Radha is 19 years younger than his Cousin.

ratios of their ages after 5 years = 2:3

FIND:-

THEIR PRESENT AGES ?

SOLUTION:-

Let age of Father be x years

$\therefore$ Age of Radha = x-19 years

After 5 years

Age of Cousin = x+5 years

Age of Radha = x - 19 + 5 = x - 14 years

ACCORDING TO QUESTION

$\frac{x - 14}{x + 5} = \frac{2}{3}$

$= 3 \times ( x - 14) = 2( x+ 5)$

$= > 3x - 42 = 2x + 10$

$collect \: like \: terms$

$= > 3x - 2x = 10 + 42$

$x = 52$

So, Present age of:

Cousin = x = 52 years

Radha = x -19 = 52 - 19 = 33 years

$so, \: Cousin\: present \: age \underline{ \boxed{52 \: years}}$

$and \: Radha\: present \: age \underline{ \boxed{33 \: years}}$