68.1k views
2 votes
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
by
7.5k points

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.

_____

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
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories