The average of 11 numbers is 36. Out of these 11 numbers, the average of 9 numbers is 34. If the ratio of remaining two numbers is 2 : 3, find out the smaller number.
Correct Answer: Description for Correct answer:
Sum of 11 numbers = \( \Large 36 \times 11 \) = 396
Sum of 9 numbers = \( \Large 34 \times 9 \) = 306
Sum of remaining two numbers = 396 - 306 = 90
Therefore, The smaller number = \( \Large \frac{2 \times 90}{2+3} = \frac{180}{5} = 36 \).
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