SOLUTION: Define a Variable, write an equation, and solve. The sum of the least and greatest of three consecutive integers is equal to 35 plus the middle integer. Find the integers.

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Question 23135: Define a Variable, write an equation, and solve.
The sum of the least and greatest of three consecutive
integers is equal to 35 plus the middle integer.
Find the integers.
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
Define a Variable, write an equation, and solve. 
The sum of the least and greatest of three consecutive 
integers is equal to 35 plus the middle integer.

Smallest integer = x
Middle integer   = x + 1
Largest integer  = x + 2

>>...The sum of the least and greatest of three consecutive integers...<<

This sum = x + (x + 2)

>>...is equal to 35 plus the middle integer...<<

x + (x + 2) = 35 + (x + 1)

Can you solve that?

Answer: x = 34.  So the integers are 34, 35, and 36

Edwin
AnlytcPhil@aol.com