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0ut of three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, then what is the difference between the first and the third numbers?
A) 126
B) 42
C) 168
D) 52
Correct answer:
C) 168
Description for Correct answer:
Let the third number = x
Then, the first number = 3x
and second number = \( \Large \frac{3x}{2} \)
According to the question,
\( \Large \frac{x + 3x + \frac{3x}{2}}{3} = 154 \)
\( \Large \frac{2x + 6x + 3x}{6} = 154 \)
\( \Large x = \frac{154 \times 6}{11} = 84 \)
Therefore, Required difference = 3x - x = 2x
\( \Large 2 \times 84 = 168 \)
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