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 #1
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Let the numbers be n and m, with n > m

 

n + m = 5(n - m)

 

Distribute the 5 on the right

n + m = 5n - 5m

 

Add 5m to both sides

n + 6m = 5n

 

Subtract n from both sides

6m = 4n

 

Divide both sides by 4

1.5m = n

 

Divide both sides by m

1.5 = n/m

 

or n/m = 1.5.    This is the ratio of the larger number to the smaller.

 Sep 8, 2017
 #2
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+1

Thank you for the answer! I have a question: Why should we divide it by 4 first instead of 6?

Guest Sep 8, 2017
 #3
avatar+27558 
+1

Because it is n/m that you want to get on its own (ie the larger number divided by the smaller one), so you want to get n on its own first.

Alan  Sep 8, 2017

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