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Popular >

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

Solution

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

Solution

The number : 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 number : 17

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