Problema Solution
there are three consecutive odd integers, and the sum of the smaller two integers is 49 less than 3 times the largest integer. find the three odd 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 the smaller two integers is 49 less than 3 times the largest integer
2k - 1 + 2k + 1 = 3*(2k + 3) - 49
4k = 6k + 9 - 49
2k = 40
k = 20
2*k - 1 = 2*20 - 1 = 39
2k + 1 = 2*20 + 1 = 41
2k + 3 = 2*20 + 3 = 43
the three consecutive odd numbers are 39, 41 and 43.