Question

The sum of age of Ram and Sohan is $45$ years. Five years ago, product of age was $124$. Find age of Ram.

• A. $9$
• B. $45$
• C. $36$
• D. None

Answer 1

Answer: (A)

$9$

Let present age of Ram =x
Present age of Sohan = 45-x
Five years ago, Ram's age = x-5
Sohan age = $45-x-5=40-x$
Product of age = 124
$(x-5)(40-x)=124$
${-x}^2-324-45x=0$
$x(x-36)-9(x-36)=0$
$(x-9)(x-36)=0$
$x=9$
Ram's age = 9