Question

The ages of Kavya and Karhtik are $11$ years and $14$ years respectively. In how many years time will the product of their ages will be $304$?

Answer 1

Given that:

Present age of Kavya $=11$ years

Present age of Karhtik $=14$ years

Solution:

After $x$ years,

Age of Kavya $=11+x$ years

Age of Karhtik $=14+x$ years

Now, according to question,

$(11+x)(14+x)=304$

or, $154+11x+14x+x^2=304$

or, $x^2+25x-150=0$

or, $x^2+30x-5x-150=0$

or, $x(x+30)-5(x+30)=0$

or, $(x-5)(x+30)=0$

or, $x=5$ or $x=-30$

So, $x=5$ is the feasible solution.

Therefore, after $5$ years product of ages of Kavya and Karhtik will be $304.$