Subject: General Aptitude · Chapter: Average · Exam: 2007 · Marks: · Difficulty:
Of the three numbers, second is twice the first and is also thrice the third. If the average of three numbers is 44, what is the largest number?
Answer
Answer (as printed):
Explanation
Let the third number be $x$. Then, second number $=3 x$. $$\begin{aligned} & \text { First number }=\frac{3 x}{2} . \\ & \therefore x+3 x+\frac{3 x}{2}=44 \times 3 \Rightarrow \frac{11 x}{2}=132 \Rightarrow x=\left(\frac{132 \times 2}{11}\right)=24 . \end{aligned}$$ Hence, largest number $=3 x=(3 \times 24)=72$.
Explanation as extracted from the printed page; notation may be imperfect.