Of the three numbers, second is twice the first and is also thrice the third. If the average of three numbers… · ABC26GN1507

Subject: General Aptitude · Chapter: Average · Exam: M.B.A. 2007

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
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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.

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