SOLUTION: The last of three consecutive numbers, increased by 10, is equal to the sum of the first two consecutive numbers. Find the numbers.

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Question 1023014: The last of three consecutive numbers, increased by 10, is equal to the sum of the first two consecutive numbers. Find the numbers.
Answer by ikleyn(52803) About Me  (Show Source):
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The last of three consecutive numbers, increased by 10, is equal to the sum of the first two consecutive numbers. Find the numbers.
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Let x be the smallest of three consecutive numbers.

Then your equation is

(x+2) + 10 = x + (x+1).

Simplify and solve it:

x + 12 = 2x + 1,

x = 12 - 1 = 11.

The numbers are 11, 12 and 13.