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

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

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    2021-11-26T12:11:52+00:00

    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!

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