Question 1124936
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This problem is a good example of how, in a problem involving three consecutive integers, it is often much easier to solve if you let your variable represent the middle integer.  So....<br>
Let the three integers be x-1, x, and x+1.<br>
The problem says the product of the smallest and largest is 17 more than 3 times the middle number:<br>
{{{(x-1)(x+1) = 3x+17}}}<br>
Expanding and simplifying will give you a quadratic equation that is easily solved by factoring.