Question

Raju is 19 years younger than his cousin after 5 years there is will be in the ratio 2 is to 3 find their present age

Answer 1

COUSIN'S AGE  = x

RAJU'S AGE = x - 19

AFTER 5 YRS., RATIO = 2/3

SO, (x - 19) + 5 / x + 5 = 2/3

x - 14 / x +5 = 2/3

3x - 42 = 2x + 10 (CROSS MULTIPLICATION)

SO, WE GET x = 52 SO, COUSIN'S AGE = 52 AND RAJU'S AGE = 52 - 19 = 33


Hope this helps u dude.

Answer 2

Let Raju's cousin age be x

Raju age is 19 years less than his cousin=x-19

After 5 years,

Raju age=x-19+5=x-14

His cousin age =x+5

Ratio of their ages =2:3

So,

x-14:x+5=2:3

(x-14)×3=2×(x+5)

3x-42=2x+10

3x-2x=10+42

x=52years

Cousin age = 52 years

Raju age = 52-19=33 years

I hope it will help you ☺