Question

Raju is 19 years younger than his cousin . After five years, their ages will be in ratio 2:3. Find their present ages .

Answer 1

Lets take Raju's cousin's age be x yrs
Therefore Raju 's age = x - 19
Ratio between Raju and his cousin = 2 : 3 or 2/3
Hence (x - 19) + 5/x + 5 = 2/3
= 5 + x - 5 + 19/x + 5 = 2/3
= 5 + x - 14/x + 5 = 2/3
= 15 + 3x - 42/2x + 10
= - 37 + 3x = 2x+10
= - 37 - 10 = 2x - 3x
= - 47 = - x
= 47 = x = His cousin age after 5 yrs=47 + 5 = 52yrs
= His age = 52 - 19 = 33yrs