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a, b, and c are consecutive odd integers such that a < b < c.
if a + b + c = 81, then a + c =
title
consecutive odd integers
your result
correct
difficulty
medium
your pace
0:04
others' pace
1:36
video explanation
text explanation
we know that a, b, and c are three consecutive odd numbers. to get from one odd number to the very next odd number, we add 2. this means that
b = a + 2
c = a + 2 + 2 = a + 4
81 = a + b + c
81 = a + (a + 2) + (a + 4)
81 = 3a + 6
75 = 3a
25 = a
so the three consecutive odd numbers are
a = 25
b = 27
c = 29
so, a + c = 25 + 29 = 54
answer = (b)
related lessons
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