algebra

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The sum of two number is 40.Two times the smaller number exceeds the larger number by 38.Find the number

  • algebra -

    let the smaller be x
    then the larger is 40-x

    "Two times the smaller number exceeds the larger number by 38"
    ---> 2x > (40-x) by 38
    2x = 40-x + 38
    3x = 78
    x = 26

    the smaller is 26
    the larger is 14

    contradiction!
    Your wording should have been
    "Two times the larger number exceedss the smaller number by 38
    then
    2(40-x) - x = 38
    80 - 2x-x = 38
    -3x = -42
    x = 14

    the smaller is 14, the larger is 26

    check:
    2(26) = 52
    does 52 exceed 14 by 38 ? YES

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