Question : Among three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is:
Option 1: 36
Option 2: 54
Option 3: 62
Option 4: 72
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Correct Answer: 54
Solution :
Let the first number be $x$, the second number be $2x$ and the third number be $\frac{2x}{3}$.
The average of the three numbers is 33.
According to the question,
$x+2x+\frac{2x}{3}= 3×33$
⇒ $11x=99 ×3$
$\therefore x=27$
Largest number = $2 ×27=54$
Hence, the correct answer is 54.
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