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Popular Word Problems >

The sum of five consecutive odd integers equals 33 more than twice the third. FInd the integers

Solution

T h e s u m o f f i v e co n sec u t i v e o dd in t e g ers e q u a l s 33 m ore t han tw i ce t h e t hi r d . F I n d t h e in t e g ers

Solution

The numbers : 7, 9, 11, 13, 15

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 33 + 2 (x + 4)

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 33 + 2 (x + 4) : x = 7

x + 2 = 7 + 2 = 9

x + 4 = 7 + 4 = 11

x + 6 = 7 + 6 = 13

x + 8 = 7 + 8 = 15

The numbers : 7, 9, 11, 13, 15

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