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=\frac52\pm\frac{√(3889)}2`

only one of which is positive,


`x=\frac52+\frac{√(3889)}2\approx33.68`