The product is -24 but the sum is 10

Answer 1

x+y = 10

xy=-24

y=-24/x

x -24/x = 10

x^2 -24 = 10x

x^2 -10x -24 = 0

(x-12)(x+2) =0

x =-2 or 12

y =12 or -2

the numbers are -2 and 12. they sum to 10 their product = -24