Question

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

Answer 1

Let his cousin's present age be  x
then Raja's present  age =x-19
  according to question  =(x-19)+5  =  2
                                                x+5      3
                                     =    x-14    = 2
                                            x+5        3
=  3(x-14)
= 3x-42
x =52
Raja's cousins age =52yrs
Raja's age =x-19=33yrs



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Answer 2

let the age of Raju be x ..
then the age of his cousin = x + 19
Now, after 5 years..
Raju's age = x + 5
Cousin's age = x + 19 + 5 = x + 24
So, According to Question..
( x + 5 ) 3 = ( x + 24 ) 2
=> 3x + 15 = 2x + 48
=> 3x - 2x = 48 - 15
=> x = 33
Therefore, Raju's age = 33
His cousin's age = 33 + 19 = 52