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Q.

The sum of three consecutive natural numbers is 114. What are the numbers?


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a

36, 37, 38

b

37, 38, 39

c

38, 39, 40

d

41, 42, 43 

answer is B.

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Detailed Solution

It is given that the sum of three consecutive natural numbers is 114.
Let x, x + 1 and x + 2 be the three consecutive numbers.
Then,
x + (x + 1) + (x + 2) = 114
On simplifying,
x + x + 1 + x + 2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
On dividing 3 on both sides,
3x 3 = 111 3 x=37  
Hence the required numbers are 37, 37+1, 37+2 i.e., 37,38,39.
Therefore, option 2 is correct.
 
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