Question 608056
"The sum of two numbers is 43" ___ x + y = 43 ___ y = 43 - x


"their product is 450" ___ xy = 450


substituting ___ x(43 - x) = 450 ___ 43x - x^2 = 450 ___ 0 = x^2 - 43x + 450


factoring ___ 0 = (x - 25)(x - 18)



a quick analysis can yield the solution
___ one of the factors of 450 has to end in 0 or 5
___ 5 and 38...no
___ 10 and 33...no
___ 15 and 28...no
___ 20 and 23...no
___ 25 and 18...jackpot