Problema Solution
Find three consecutive odd numbers whose sum is 69
Answer provided by our tutors
The three consecutive odd numbers can be written as 2k-1, 2k+2 and 2k+3 where k is integer.
2k-1+2k+2+2k+3 = 69
6k + 4 = 69
k = 65/6
the solution is not and integer number therefor there is no solution.
The three consecutive odd numbers can be written as 2k-1, 2k+3 and 2k+5 where k is integer.
2k-1+2k+3+2k+5 = 69
6k + 7 = 69
k = 62/6 = 31/3
the solution is not and integer number therefor there is no solution.