Question

The sum of three consecutive multiples of 7 is 315. Find the multiples.​

Answer 1

Step-by-step explanation:

7 = 30

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Answer 2

Answer:- The multiples are = 98, 105, 112.

Given in the question that:-

The sum of the three consecutive multiples of 7 is = 315

Solution to the given question:-

Let us assume the three consecutive multiples of 7 be 7m, 7m+7, 7m+14

Therefore,

According to the question,

7m+(7m+7)+(7m+14) = 315

   7m+7m+7+7m+14 = 315

   7m+7m+7m+7+14 = 315

            21m+21         = 315

                  21(m+1)    = 315

                       m+1     = 315/21

                        m+1    = 15

                          m     = 15-1

                           m    = 14

Therefore, we got m = 14

Now,

The three consecutive multiples of 7 are:-

First multiple of 7 = 7m

                             = 7×14

                             = 98

The second multiple of 7 = 7m+7

                                          = 7×14+7

                                          = 98+7

                                          = 105

And the third multiple of 7 = 7m+14

                                            = 7×14+14

                                            = 98+14

                                            = 112

To know more about the given topic please go through the following

Link1:- https://brainly.in/question/13239786?

Link2:- https://brainly.in/question/13187449?

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