SOLUTION: three consecutive even numbers have a sum where one half of that sum is between 90 and 105 a. write an inequality to find the three numbers. let n represent the smallest even nu

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Question 705867: three consecutive even numbers have a sum where one half of that sum is between 90 and 105
a. write an inequality to find the three numbers. let n represent the smallest even number
b. solve the inequality
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Even Number, 2n.
Consecutive even numbers, 2n, 2n+2, 2n+4.
Their sum: 2n+2n+2+2n+4=6n+6

That sum is between 90 and 105:
90%3C6n%2B6%3C105
84%3C6n%3C99
14%3Cn%3C16.5

This allows for n to be 15 or 16. Take your pick and then compute 2n, 2n+2, 2n+4.