Question

 Five years ago, Anu was thrice as old as Sonu. After ten years, Anu will be twice as old as Sonu. How old are Anu and Sonu?

note:only one variable should be used

Answer 1

Let the age of Anu be x years and Sonu be y years.

5 Years Ago,

Age of Anu = x - 5 years

Age of Sonu = y - 5 years

A.T.Q.

( x - 5) = 3(y-5)

= x = 3y - 15 + 5

= x = 3y - 10 _______________(1)

Ten Years Later,

Age of Anu = x + 10 years

Age of Sonu = y + 10 years

A.T.Q.

( x + 10) = 2(y + 10)

= 3y - 10 + 10 = 2y + 20

= 3y - 2y = 20

= y = 20

Substituting ( y = 20) in eq(1).

= x = 3y - 10

= x = 60 - 10

= x = 50

Hence,

Anu's age = x = 50 years

Sonu's age = y = 20 years.

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