Problema Solution
The sum of the first and second of three consecutive odd integers is four more than for times the third integer. Find the third integer
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 first and second of three consecutive odd integers is four more than the third integer
2k - 1 + 2k + 2 = 4 + (2k + 3)
by solving we find
k = 3
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2k + 3 = 2*3 + 3 = 9
the third integer is 9.