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7 April, 21:57

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.

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  1. 7 April, 22:25
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    The small number is 2.

    The large number is 3.

    Step-by-step explanation:

    Let the two consecutive numbers be x and x+1.

    x be the small integer. x+1 be the large integer.

    The sum of these two consecutive integers = small integer + large integer

    The sum of these two consecutive integers is x+x+1 = (2x+1)

    It is given that,

    The sum of two consecutive integers is one less than three times the smaller integer. This means that, (2x+1) is one less than three times the smaller integer. Here, the small integer is represented as x.

    Therefore, it can determined that:

    (2x+1) = 3x-1

    Keeping x term on one side and constants on other side,

    3x-2x = 1+1

    x = 2

    Therefore, the small number is 2 and the large number is x+1 = 3.
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