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Question

The sum of five numbers is 655. The average of the first two numbers is 78 and the third number is 134. Find the average of the remaining two numbers?

The correct answer is

182.5

The sum of the five numbers is 655. The sum of the first two numbers is 78 × 2 = 156. The third number is 134. So, the sum of the first three numbers is 156 + 134 = 290. The sum of the remaining two numbers is 655 - 290 = 365. Therefore, the average of the remaining two numbers is 365 ÷ 2 = 182.5.

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Important Questions from Average

  1. The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14 th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)

  2. 24 students collected money for donation. The average contribution was Rs. 50. Later on, their teacher also contributed some money. Now the average contribution is Rs. 56. The teacher’s contribution is:

  3. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6 th number. If their average is 136, then the 6 th number is:

  4. The average of five numbers is 30. If one number is excluded, then average becomes 31. What is the excluded number?

  5. The average weight of 49 students in a class is 39 kg. Seven of them whose average weight is 40 kg leave the class and other seven students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

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