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8 May, 13:17

Malin and Shawn begin with the same number, t. Malin subtracts 6 from t and then divides the result by 6. Shawn adds 7 to t and then divides the result by 7. If Malin's final answer is the same as Shawn's final answer, what was the number t?

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  1. 8 May, 13:27
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    T

    adds 6

    t-6

    divides by 6

    (t-6) / 6

    shawn

    7+t

    divide by 7

    (7+t) / 7

    theyare equal

    (t-6) / 6 = (7+t) / 7

    times 42 both sides

    7 (t-6) = 6 (t+7)

    distribute

    7t-42=6t+42

    minus 6t both sides

    t-42=42

    add 42 both sides

    t=84
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