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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