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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 f…

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 f…
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3 votes
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.

asked
User GerritCap
by
8.3k points

1 Answer

1 vote
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.
answered
User Kevinarpe
by
8.3k points
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