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One number is 5 more than another number. Four times the larger number plus 3 times the smaller is 97. find the numbers. Show your work.

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    So you need to make two equations, and then use substitution.

    I used A for the larger number and B for the smaller:

    A=B+5
    4A+3B=97

    Then you plug in (B+5) for A in the second equation...

    4(B+5)+3B=97
    4B+20+3B=97
    7B+20=97
    7B=77
    B=11

    A=5+11
    A=16

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