Question 335846
the lengths are consecutive odd integers.


if the first length is n, then the second length is n+2, and the third length is n + 4.


The sum of the lengths of the first and the third piece is 58 feet.


This means that n + n + 4 = 58.


Combine like terms to get:


2n + 4 = 58.


Subtract 4 from both sides of the equation to get:


2n = 54.


Divide both sides of the equation by 2 to get:


n = 27.


Since these are 3 consecutive numbers that are all odd, this means that:


first number is n = 27
second number is n + 2 = 29
third number is n + 4 = 31


sum of first and third number is 27 + 31 = 58.


Everything checks out so this is your answer.