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23 August, 15:50

Four more than three-fifths of a number is thirteen what number is it

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  1. 23 August, 18:41
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    Hello from MrBillDoesMath!

    Answer: 15

    Discussion.

    Call the number referred to "n". Then the problem statement becomes:

    4 + (3/5) * n = 13

    Multiply both sides of the equation by 5:

    5 (4 + (3/5) * n) = 13 * 5 or

    5*4 + 5 * (3/5) * *n = 13*5

    Cancelling the boldfaced 5's gives:

    5*4 + 3*n = 13 * 5 or

    20 + 3*n = 65

    Subtracting 20 from both sides gives:

    3*n = 65-20 - 45

    Dividing by 3 gives n = 15

    Check: 4 + (3/5) * 15 = 4 + 9 = 13! Bingo

    Regards, MrB
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