Subject: General Aptitude · Chapter: Average · Exam: 2008 · Marks: · Difficulty:
The sum of the three consecutive even numbers is 44 more than the average of these numbers. Which of the following is the third largest of these numbers?
(a)16
(b)18
(c)24
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the numbers be $x, x+2$ and $x+4$. Then, $(x+x+2+x+4)-\frac{(x+x+2+x+4)}{3}=44$ $\Rightarrow (3x+6)-\frac{(3x+6)}{3}=44$ $\Rightarrow 2(3x+6)=132$ $\Rightarrow 6x=120 \Rightarrow x=20$. ∴ Largest number $=x+4=24$.
Explanation as extracted from the printed page; notation may be imperfect.