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Three consecutive multiples of 7 have a sum of 84. What is the greatest these numbering?

A. 7

B. 21

C. 35

D. 42

User Maumercado
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1 Answer

4 votes

Answer:

C. 35

Explanation:

Let x represent the largest of the multiples of 7. The sum will be ...

x + (x -7) + (x -14) = 84

3x = 105 . . . . . . . . . . . . . add 21 and simplify

x = 35 . . . . . . . . . . . . . . . divide by 3

The greatest of the numbers of interest is 35.

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Two consecutive multiples of 7 will differ by 7. If x is the largest, the next-largest is x-7, and the one before that is x-14.

User Josh Holbrook
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