Question : The sum of three consecutive integers is 51. The middle one is:
Option 1: 14
Option 2: 15
Option 3: 16
Option 4: 17
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Correct Answer: 17
Solution : Let the three consecutive integers be $x-1, x,x+1$ whose sum equals 51. According to the question, $x -1+ x +x+1 = 51$ $3x = 51$ $\Rightarrow x = \frac{51}{3} = 17$ So, the middle number $=x= 17$ Hence, the correct answer is 17.
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