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How do I solve this?

 

Five times a number is divided by 7 more than that number.  If the result is 2, then what was the original number?

 Apr 22, 2023
 #1
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Let the number = N

 

(5N) / [N + 7] = 2, solve for N

 

N = 14 / 3

 Apr 22, 2023
 #2
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Set the number to be n.

5 times n over 7 more than n is 2.

\(\frac{5n}{7+n}=2\)

Multiply by \(7+n\):

\(5n=14+2n\)

\(3n=14\)

\(n=\frac{14}{3}\)

This answer is the same as Guest's, but with more steps.

 May 2, 2023

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