The average of 7 numbers is 8. If a number is added to them, the average…

2024

The average of 7 numbers is 8. If a number is added to them, the average becomes 9. What is the number added accordingly?

  1. A.

    12

  2. B.

    11

  3. C.

    16

  4. D.

    14

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Show answer & explanation

Correct answer: C

Given:

  • Average of 7 numbers = 8, so the total of the 7 numbers is 7 × 8 = 56.

  • After adding one number, average of 8 numbers = 9, so the new total is 8 × 9 = 72.

  • Added number = new total − original total = 72 − 56 = 16.

Therefore the added number is 16.

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