Convert the following word sentence as a mathematical statement involving a polynomial and then solve it:

Question

"The sum of the least and greatest of three consecutive odd integers is 110. What is the middle (second) of the three integers?"

a) 37

b) 79

c) 37

d) 55

Answer 1

Let the 3 integers be 2k-1, 2k+1 and 2k+3.

Then the equation is 4k+2=110.

I will leave it to you to solve for k and then calculate 2k+1