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Math Help - The Sum of Two Numbers...

  1. #1
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    The Sum of Two Numbers...

    I seem to have a problem figuring out how to write this out.

    "The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number. Find the numbers."

    Any help?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by largebabies View Post
    I seem to have a problem figuring out how to write this out.

    "The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number. Find the numbers."

    Any help?
    We can set up two equations:

    x+y=3 ----- [sum of two different numbers, where x is the smaller, and y is the larger]

    2y=36+3x -----[twice the larger number = 36 + three times the smaller number]

    Can you solve this system of equations?

    \left\{\begin{array}{rcrcr}x&+&y&=&3\\-3x&+&2y&=&36\end{array}\right.

    --Chris
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