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19 April, 06:40

When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What is the number? Express your answer as a common fraction.

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  1. 19 April, 10:23
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    The number will be itself when multiplied by 1.

    The sum of twice and half the original number is 1, so the number is

    2n + 0.5n = 1

    2.5n = 1

    n = 1/2.5 = 0.4

    The original number is 2/5.
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