Question

Raju is 19 years younger than his cousin after 5 years their ages will be in ratio 2 ratio 1 find the present ages

Answer 1

considering his cousin age as x...then his cousins age will be x-19....

after 5 years there age will b in 2:3 ration so

3(x-19+5)=2(x+5)

::3x-42=2x+10

x=52

so his cousin age = 52

his age =52-19=33

Answer 2

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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

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