Question

Five years ago,Nuri was thrice as old as Sonu. Ten years later,Nuri will be twice as old as Sonu. How old are Nuri and Sonu?


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Answer 1

Let the age of Nuri (in years) = x

Let the age of Sonu (in years) = y

According to question

Five years ago

Nuri's age = x - 5

Sonu's age = y - 5

So,

x - 5 = 3(y - 5)

x - 5 = 3y - 15

x - 3y = -10 (Equation 1)

Ten years later

Nuri's age = x + 10

Sonu's age = y + 10

So,

x + 10 = 2(y + 10)

x + 10 = 2y + 20

x - 2y = 10 (Equation 2)

Subtracting Equation 2 from Equation 1

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

- y = -20

y = 20

Putting value in Equation 1

x - 3y = -10

x - 3(20) = -10

x -60 = -10

x = -10 + 60

x = 50

Therefore,

Nuri's age (x) = 50 years

Sonu's age (y) = 20 years

Answer 2

Answer:

Step-by-step explanation: