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The larger of the two numbers exceeds three times the smaller number by 4. the sum of twice the larger number and 4 times the smaller number is 58. if x is the smaller number, which equation below determines the correct value of x?

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  1. 7 May, 10:51
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    Let the larger be h and the smaller be x;

    h-3x=4

    2h+4x=58

    This is a pair of simultaneous equations;

    Eliminating h by multiplying equation 1 by two;

    2h-6x=8

    2h+4x=58

    Subtracting equation 1 from equation II;

    -2x=50

    x=-25

    The smaller number is - 25
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