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24 January, 23:27

One number is 2 more than 3 times another. their sum is 22. find the numbers

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  1. 25 January, 03:02
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    1st number = x, 2nd number = y

    Translating the question mathematically it becomes:

    x-2 = 3y, or to make it easier: x = 3y+2, x+y = 22

    Thus:

    (3y + 2) + y = 22

    4y + 2 = 22

    Move the 2 on the other side, changing its sign to negative:

    4y = 22 - 2

    4y = 20

    Divide by 4, to obtain only y:

    4y : 4 = 20 : 4

    y = 5

    To obtain x:

    x = (3*5) + 2 = 15+2 = 17

    Verify it: 17+5=22
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