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

Solution

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

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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