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Q.

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


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a

14

b

15

c

16

d

17 

answer is D.

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Detailed Solution

detailed_solution_thumbnail
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 3x+3=51
3x+33=513 3x=48 3x 3 = 48 3 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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