SOLUTION: Find three consecutive integers whose sum is 22 less than two times the larger number

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Question 1203880: Find three consecutive integers whose sum is 22 less than two times the larger number
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

three consecutive integers :
n,n%2B1,n%2B2
whose sum is 22+less than two times the larger number
n%2B%28n%2B1%29%2B%28n%2B2%29=2%28n%2B2%29-22
3n%2B3=2n%2B4-22
3n-2n=4-22-3
n=-21 => first integer

three consecutive integers:

-21,-20,-19


Answer by josgarithmetic(39623) About Me  (Show Source):