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Five consecutive numbers have the middle number 3x-1. If the sum of these five numbers is 670 find the value of x and list the five numbers.

Solution

Five consecutive numbers have the middle number 3x-1. If the sum of these five numbers is 670 find the value of x and list the five numbers.

Solution

The numbers : 132, 133, 134, 135, 136

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 670

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 670 : x = 132

x + 1 = 132 + 1 = 133

x + 2 = 132 + 2 = 134

x + 3 = 132 + 3 = 135

x + 4 = 132 + 4 = 136

The numbers : 132, 133, 134, 135, 136

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