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6 December, 12:34

Find two consecutive integers such that the sum of twice the larger number and three times the smaller number is 242?

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  1. 6 December, 13:06
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    Let x be the smaller number and y be the larger one

    so x + 1 = y

    242 = 2y + 3x

    use substitution to solve for one of the variables

    242 = 2 (x + 1) + 3x

    242 = 2x + 2 + 3x

    240 = 5x

    48 = x

    the numbers are 48 and 49
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