Holly S.

asked • 03/17/18

The sum of five consecutive numbers is equal to six times the smallest number. What are the five numbers?

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1 Expert Answer

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Andrew M. answered • 03/17/18

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Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

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If your first number is x then the numbers are
x, x+1, x+2, x+3, x+4
These sum to 6x
 
x + x+1 + x+2 + x+3 + x+4 = 6x
5x + 10 = 6x
Subtract 5x from both sides
10 = x
 
The smallest number is 10 so the numbers are: 10, 11, 12, 13, 14
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