There are three consecutive integers. The sum of the smallest and the largest is 36. Find the integers

Question

There are three consecutive integers. The sum of the smallest and the largest is 36. Find the integers

Answer 1

The 3 integers are

 

n (smallest)

n + 1

n + 2 (largest)

 

n + (n + 2) = 36

2n + 2 = 36

n = (36 - 2)/2 = 17

 

The 3 integers are 17, 18, and 19.  Test the answer.