Problema Solution
The sum of three consecutive odd integers is 183. What are the integers?
Answer provided by our tutors
Every odd number can be written in a form 2k +1, where k is integer.
Thus the three consecutive odd integers can be written as
2k - 1, 2k + 1 and 2k + 3
the sum of these three numbers is 183 that is
2k - 1 + 2k + 1 + 2k + 3 = 183
6k = 180
k = 180/6
k = 30
2k - 1 = 2*30 - 1 = 59
2k + 1 = 2*30 + 1 = 61
2k + 3 = 2*30 + 3 = 63
the three consecutive odd numbers are 59, 61 and 63.