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28 April, 01:48

The sum of a number and three is doubled and then added to the product of six and the original number to give forty six

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  1. 28 April, 04:40
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    The number is 5

    Step-by-step explanation:

    Let x represent the number

    Now let's break it down!

    Sum of a number and 3 gives;

    x + 3

    This is then doubled to give;

    2 * (x + 3)

    This is added to the product of 6 and the original number to give 46

    Product of 6 and the original number = 6 * x

    Now 2 * (x + 3) is added to 6 * x to give 46

    2 * (x + 3) + 6*x = 46

    2x + 6 + 6x = 46

    8x + 6 = 46

    Subtract 6 from both sides

    8x + 6 - 6 = 46 - 6

    8x = 40

    x = 40/8

    x = 5

    Hence, the number is 5
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