SOLUTION: can you help me "find three consecutive integers such that the first added to 3 times the second is 83"

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Question 698033: can you help me "find three consecutive integers such that the first added to 3 times the second is 83"
Found 2 solutions by solver91311, CubeyThePenguin:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the first integer. Then next consecutive integer is then and the third must be .

Three times the second is then .

The first added to three times the second is then

And the whole thing is equal to 83:



Solve for , then calculate and

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: (x-1), x, (x+1)

(x-1) + 3x = 83
4x - 1 = 83
4x = 84
x = 21

integers: 20, 21, 22