Question

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

Answer 1

Let the present age of Nuri $=x$ year

And present age of Sonu $=y$ year

Five years ago

Age of Nuri $=x–5$years

Age of Sony $=y–5$years

Nuri was thrice as old as Sonu

$X-5=3(y–5)$

$X–5=35–15$

$X–3y=-15+5$

$X–3y=-10$ ………..(1)

Ten years later,

Age of Nuri $=x+10$

Age of Sonu $=y+10$

Nuri will be twice as old as Sonu.

$X+10=2(y+10)$

$X+10=2y+20$

$X–2y=10$ ………..(2)

$X–3y=-10$ ………..(1)

Subtracting equation (1) from equation (2) we get

$Y=20$

Plug this value in equation first we get

$X-3\ast 20=-10$

$X=60–10$

$X=50$

Hence age of Nuri $=50$ years and age of Sonu $=20$ years