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
No answer key was printed for this question.
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.