Q15: 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?
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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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