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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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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.

User GerritCap
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1 Answer

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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.
User Kevinarpe
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