If the difference of two numbers is 7 and their product is 60, what are they?

X - y = 7 ... x = y + 7

x * y = 60

y (y + 7) = 60

y^2 + 7y = 60

y^2 + 7y - 60 = 0

(y + 12) (y - 5) = 0

y + 12 = 0

y = - 12 ... not this one because it is negative

y - 5 = 0

y = 5 <===

x - y = 7

x - 5 = 7

x = 7 + 5

x = 12 <==

so ur 2 numbers are 12 and 5