Problema Solution
The code to unlock a safety deposit box is three consecutive odd integers whose sum is 81. Find the integers.
Answer provided by our tutors
every odd integer can be written as 2k + 1, where k is integer
the 3 consecutive odd integers can be written as:
2k - 1, 2k + 1, 2k + 3
the sum of the 3 consecutive odd integers is 81
2k - 1 + 2k + 1 + 2k + 3 = 81
by solving we find
k = 13
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2*13 - 1 = 25
2*13 + 1 = 27
2*13 + 3 = 29
the three consecutive odd integers are 25, 27 and 29.