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Q.

Three consecutive integers add up to 51. What are these integers?


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a

13,14,15

b

16,17,18

c

19,20,21

d

22,23,24 

answer is B.

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Detailed Solution

Given, three consecutive integers add up to 51.
Let the first integer be x,
Second integer be x+1,
Third integer will be x+1+1
=x+2
Sum of integers is 51.
Linear equation will be x+(x+1)+(x+2)=51
Simplifying the equation,
x+x+x+1+2=51 ⇒3x+3=51 ⇒3x=51−3 ⇒3x=48  
Divide both the sides by 3,
x=16
Substitute value of x, in first, second and third integer.
First integer is x=16.
Second integer is,
=x+1
=16+1
=17
Third integer is,
=x+2
=16+2
=18
Hence, the three consecutive integers are 16,17 and 18.
Correct option is 2.
 
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