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?

Answer 1

let nuri age be x and sonu y.then five years ago x-5=3(y-5). and then ten year later x-10=2(y-10). by solving x and y you will get the answer.if it help mark as brainliest

Answer 2

$\huge\sf{\underline{\underline{Solution:}}}$

• 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