Problema Solution
The sum of the number of four consecutively odd post office boxes is 664. What was the percent increase?
Answer provided by our tutors
let the four consecutively odd numbers be
2x-3, 2x -1, 2x+1, 2x+3
where x is integer
the sum of four consecutively odd numbers is 664
2x-3 + 2x -1 + 2x+1 + 2x+3 = 664
by solving we find
x = 83
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the numbers are
2*83 - 3 = 163
165
167
169
171
the percent of increase between 163 and 165 is (165 - 163)/163 = 0.0123 or 1.23%
the percent of increase between 165 and 167 is (167 - 165)/165 = 0.0121 or 1.21%
the percent of increase between 167 and 169 is (169 - 167)/167 = 0.01198 or 1.198%
the percent of increase between 169 and 171 is (171 - 169)/169 = 0.0118 or 1.18%
the percent of increase between 163 and 171 is (171 - 163)/163 = 0.0491 or 4.91%