## the sum of two numbers is 56. the difference of the 2 numbers is 16. what is the product of the two numbers?

Question

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## Answers ( No )

So if you let x and y be the two numbers…

the sum of the two means you add them together… so you get:

x+y=56 : the difference means you subtract them.. so

x-y = 16

now you have two equations and two unknowns… which you can solve with a variety of methods… you can use elimination, substitution, or trial and error.

x+y=56

x-y = 16

I will use the elimination method: Because there is a plus y and a negative you cancel that out and you add the 2x’s. Therefore:

2x=72

x=36

Now, you can plug in 36 into one of your original equation:

36+y=56

y=20

Those are your two numbers!