Jack is 5 years older than jill,the product of their ages is 500,
write an equation to represent this information (let x be jills age..so find x jills age)
$\displaystyle jill's \ age = x$
$\displaystyle Jack\ is\ 5\ years\ older\ than\ jill\ ,\ therefore\ jack'\ age = x+5 $
$\displaystyle according\ to\ question\ ,\ product\ of \ their\ ages\ is\ 500$
$\displaystyle therefore\ \\ x \times (x+5) = 500$
$\displaystyle \ x^2+ 5x - 500 = 0 $
Solving Quadratic Equations: Solving by Factoring
Do you know how to factorise?