Question

SAT: The difference of two numbers is 4 and their sum is -7. What is their product?

Answer 1

Let the numbers be x and y
therefore x - y = 4
and x + y = -7
Adding the two equations we get 2x = -3
i.e. x =-3/2 = -1.5
Therefore y = -5.5
their product i.e. xy = (-1.5) (-.5.5) = 8.25
Thus their product is 8.25

Answer 2

another way :-

\( \large (x-y)^2 = (x+y)^2 - 4xy \)

\( \large 4^2 = (-7)^2 - 4xy \)

Answer 3

you can solve xy