If the sum of three consecutive integers is 51, then choose the correct option which represents the middle number.

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answer is D.

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Detailed Solution

We are given that the sum of three consecutive integers is 51.
So, as the integers are consecutive, let us assume the integers to be x, x + 1 and x + 2.
Now, according to the given condition, we have

x + x + 1 + x + 2 = 51 3 x + 3 = 51

3 x + 3 − 3 = 51 − 3 3 x = 48 3 x 3 = 483 x = 16

Now, we will substitute this value in the expression for the middle integer and get its value as follows,

x + 1 = 16 + 1 = 17

So, the middle integer is 17.
Hence, the correct option is (4).

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