Question 1127022
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You can simplify the required algebra using logical reasoning, knowing that, in three consecutive integers, the sum of the first and third is twice the second.  So if x is the second number, the problem says<br>
{{{105-x = 2x}}}
{{{105 = 3x}}}
{{{x = 35}}}<br>
The middle number is 35; the integers are 34, 35, and 36.