Logically, the MIDDLE integer is: 

From this, you should be able to find the others and answer the question

OR

Algebraically, let the smallest integer be S

Then middle is: S + 2, and largest = S + 4

The sum-equation: S + S + 2 + S + 4 = 165 ensues.

Solve for S, the smallest, and then add 2 and 4 to get the middle and the largest, respectively.

Answer the question!

That's it...nothing COMPLEX and CONFUSING! 

RELATED QUESTIONS

Three consecutive odd counting numbers have the property that the sum of the largest and... (answered by abhinav75)

Three consecutive odd counting numbers have the property that the sum of the largest and... (answered by ewatrrr)

the largest among three positive consecutive odd number is greater than the sum of -4 and  (answered by josgarithmetic)

The sum of three consecutive odd numbers is 135.Find the largest odd number?



 (answered by Alan3354)

The sum of three consecutive odd integers is -207. List the numbers from smallest to... (answered by MathLover1,josgarithmetic,MathTherapy)

The sum of three consecutive odd numbers is 153. Which is the LARGEST... (answered by stanbon)

The difference between the sum of four cinsecutive odd numbers and three consecutive even  (answered by ankor@dixie-net.com)

Find three consecutive odd integers such that the sum of the largest and twice the... (answered by checkley71)

Find three consecutive odd integers such that the sum of 7 times the smallest and twice... (answered by ramkikk66)