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    savannanick's Avatar
    savannanick Posts: 1, Reputation: 1
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    #1

    Oct 19, 2010, 07:37 PM
    Simultaneous equations
    What's the awnswer to there's 2 numbers have a sum of 102 and there difference is 26 find the larger number? Please help
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 20, 2010, 09:33 AM

    Let the smaller number be x and the larger number be y.

    From the first statement, we know that:

    x + y = 102

    From the second statement, we know that:

    y - x = 26

    Can you try to solve them simultaneously now? Eliminating x (the smaller number) by adding the two equations so that only y (the larger number) remains is the shortest method.

    Post what you get! :)
    RPVega's Avatar
    RPVega Posts: 29, Reputation: 2
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    #3

    Oct 25, 2010, 02:01 PM
    Let's see: x+y=102
    x-y = 26
    Adding the bottom equation to the top equation yields: 2x = 128. Solving for x, x= 128/2 = 64.
    Next, setting x=64 in the top equation,
    we have 64 + y = 102. From here, we have y = 102 - 64 = 38. Since 64 > 38, your answer is 64.
    I hope this is of some help. Good luck!

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