SOLUTION: Solution to: sum of 3 consecutive integers 10 more than double the greatest integer Please show formula Thanks

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Question 109276: Solution to: sum of 3 consecutive integers 10 more than double the greatest integer
Please show formula
Thanks

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solution to:
sum of 3-+consecutive+-integers
let first integer be x, second x%2B1, and third x%2B2
given:
sum of 3 consecutive integers 10 more than double-+the+-greatest+-integer which is x%2B2
x+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+2%28+x+%2B+2%29+%2B+10
3x+%2B+3+=+2x+%2B+4+%2B+10....move 3 to the right and 2x to the left

3x+-+2x+=+-+3+%2B+4+%2B+10
x+=+11.....the smallest integer
next one is x%2B1=+12
third one is: x+%2B+2+=+13
check if sum of 3 consecutive integers 10 more than double-+the+-greatest+-integer
11+%2B+12+%2B+13+=+2%28+11+%2B+2%29+%2B+10
36+=+2%28+13%29+%2B+10
36+=+26+%2B+10
36+=+36+