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When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the value n?n = 18n = 20n = 21 4/5n = 23 4/5

User Thalador
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2 Answers

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The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
User Guokas
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1 vote

Answer: The correct option is (B) n = 20.

Step-by-step explanation: Given that when a number is added to 1/5 of itself, the result is 24. The equation that models this problem is given by


n+(1)/(5)n=24~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of n.

Solving equation (i), we have


n+(1)/(5)n=24\\\\\\\Rightarrow (5n+n)/(5)=24\\\\\Rightarrow 6n=5*24\\\\\Rightarrow n=(5*24)/(6)\\\\\Rightarrow n=20.

Thus, the required value of n is 20.

Option (B) is CORRECT.

User ISanych
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