Find the integers if the sum of three consecutive odd integers is 177

Aron Heath

Aron Heath

Answered question

2022-11-16

Find the integers if the sum of three consecutive odd integers is 177

Answer & Explanation

luluna81mxmbk

luluna81mxmbk

Beginner2022-11-17Added 17 answers

Let the three consecutive odd integers be
2 x - 1 , 2 x + 1 , and 2 x + 3

We are told
( 2 x - 1 ) + ( 2 x + 1 ) + ( 2 x + 3 ) = 177
which implies
6 x + 3 = 177

6 x = 174

x = 29

So the numbers are
{ 2 ( 29 ) - 1 , 2 ( 29 ) + 1 , 2 ( 29 ) + 3 }

= { 57 , 59 , 61 }

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