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Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number

Solution

Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number

Solution

The numbers : 17, 19, 21

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 = 3 (x + 4) - 27

Solve

x + x + 2 = 3 (x + 4) - 27 : x = 17

x + 2 = 17 + 2 = 19

x + 4 = 17 + 4 = 21

The numbers : 17, 19, 21

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