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Six times the sum of three consecutive odd integers is 150 more than eight times the middle integer. Find the integers

Solution

Six times the sum of three consecutive odd integers is 150 more than eight times the middle integer. Find the integers

Solution

The numbers : 13, 15, 17

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

6 (x + x + 2 + x + 4) = 150 + 8 (x + 2)

Solve

6 (x + x + 2 + x + 4) = 150 + 8 (x + 2) : x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

The numbers : 13, 15, 17

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