Question

The product of a man's age 6 years ago and his age 10 years hence is 960. Find his age now.

Answer 1

Let his current age be $x$. Then

$(x-6)(x+1)=960\implies x=\dfrac52\pm\dfrac{\sqrt{3889}}2$

only one of which is positive,

$x=\dfrac52+\dfrac{\sqrt{3889}}2\approx33.68$