The sum of two numbers is 56. The difference of the 2 numbers is 16. What is the product of the two numbers?

Answer 1

X + Y = 56

X - Y = 16

Rearrange either equation, I will do the second.

X = 16 + Y

Plug into the first equation

(16 + Y) + Y = 56

Simplify

16 + 2Y = 56

2y = 40

y = 20

Plug Y back into first equation

X + (20) = 56

Solve

X = 36

Final: your two numbers are 36 and 20.