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Popular Word Problems >

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

Solution

S i x t im es t h e s u m o f t h ree co n sec u t i v e o dd in t e g ers i s 150 m ore t han e i g h t t im es t h e mi dd l e in t e g er . F in d t h e in t e g ers

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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