5 years ago nuri was thrice as old as sonu

Asked by admin @ 02/08/2021 in Math viewed by 291 People

5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?

Answered by admin @ 02/08/2021

Let the present age of Nuri be x years and present age of sonu be y years.

According to given conditions,

5 years ago,

x - 5 = 3(y - 5)

x - 3y = -10 ...... (Eqn 1)

10 year later,

x + 10 = 2(y + 10)

x - 2y = 10 ........ (Eqn 2)

On subtracting eqn 1 from 2,

(x - 2y) - (x - 3y) = 10 + 10

-2y + 3y = 20

y = 20

On substituting y = 20 in eqn 2,

x = 2 × 20 + 10

x = 50

Hence present age of Nuri is 50 years and present age of Sonu is 20 years

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