Question

Arjun is twice as old as Shriya. Five years ago his age was 3 times Shriya's age. Find their present ages.

Answer 1

Let Arjun's age be x and shriya's age be y

A.T.Q.

x=2y

x-5=3 (y-5)

=>x-5=3y-15

=>2y-3y=-15+5

=>-y=-10

=>y=10 

Now ,

x=2y

=>x=(2x10)

=>x=20

Therefore Arjun's age is 20 yrs and Shriya's age is 10 yrs.

Answer 2

Let Shriya's age be x

and Arjun's age = 2x

Five years ago

Shriya's age = x - 5

arjun's age = 2x - 5

ATQ ;

3(x - 5) = 2x - 5

3x - 15 = 2x - 5

3x - 2x = - 5 + 15

x = 10

Therefore ,

Shriya's age = 10 years

and Arjun's age = 10*2 = 20 years