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? [3 MARKS]

Answer 1

Concept : 1 Mark
Application : 1 Mark
Calculation : 1 Mark

Let Nuri’s age be $x$ and Sonu’s age be $y$

Five years ago,

$x–5=3(y-5)$

$x=3y-10\dots \dots \left(i\right)$

Ten years later their age,

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

$x=2y+10\dots \dots \left(ii\right)$

From (i) and (ii) we get,

$3y-10=2y+10$

$y=20$

$x=3y-10$

$x=60-10=50$

$x=50,y=20$