Question

Kareem is three times as old as his son.After ten years, the sum of their ages will be $76$ yrs. Find their present ages.

Answer 1

Let the age of Kareem and his son be $x$ and $y$ respectively

According to question ,

$x=3y⟶\left(i\right)$

After $10$ years,

Age of Kareem $=x+10$

Age of his son $=y+10$

$\therefore (x+10)+(y+10)=76x+y=56⟶\left(ii\right)x-3y=0$

On subtracting , $4y=56$

$y=14$ years old

putting value of $y$ in $⟶\left(i\right)$

$x=3\times 14=42$ years.