SOLUTION: The sum of three consecutive even integers is between 36 and 54. Find all sets of intergers that satisfy this condition.
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Question 50608This question is from textbook Applied College Algebra
: The sum of three consecutive even integers is between 36 and 54. Find all sets of intergers that satisfy this condition.
This question is from textbook Applied College Algebra
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
The sum of three consecutive even integers is between 36 and 54. Find all sets of intergers that satisfy this condition.
let the 3 consecutive even integers be 2n-2,2n,2n+2
their sum = 2n-2+2n+2n+2=6n
36<6n<54
6
hence n=7 or 8
hence the numbers are
2*7-2=12,14,16........or
2*8-2=14,16,18
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