SOLUTION: Find three consecutive integers such that the sum of the second and the third is 30 greater than the first

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Question 1054630: Find three consecutive integers such that the sum of the second and the third is 30 greater than the first
Answer by ikleyn(52848) About Me  (Show Source):
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Find three consecutive integers such that the sum of the second and the third is 30 greater than the first
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Let x be the smallest integer of the given three.
Then the integers are x, (x+1) and (x+2).


You are given that


(x+1) + (x+2) = x + 30.


Simplify:


2x + 3 = x + 30  --->  x = 30-3 = 27.


Answer.  The integers are 27, 28 and 29.