Question

The product of Ramu's age (in years) five years ago with his age (in years) 9 years lager is $15$. Find Ramu's present age.

Answer 1

Let Ramu's present age be $x$ years.

Then, his age $5$ years ago $=(x-5)$ years
His age $9$ years ago $=(x+9)$ years

It is given that the product of these ages is $15$

$\therefore (x-5)(x+9)=15$

$\Rightarrow x^2+4x-60=0\Rightarrow x^2+10x-6x-60=0\Rightarrow (x+10)(x-6)=0$

$\Rightarrow x=6orx=-10$

$x\ne -10$, so $x=6$

Hence, Ramu's present age is $6$ years