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19 Jul 2021, 03:45
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Difficulty:
5%
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Question Stats:
91% (00:52) correct
9%
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The average (arithmetic mean) of 5 numbers is 7.6. When one number is discarded, the average of the remaining numbers becomes 7.0. What is the discarded number?
A 3.0
B 6.5
C 9.6
D 10.0
E 12.4
A 3.0
B 6.5
C 9.6
D 10.0
E 12.4
19 Jul 2021, 03:52
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Explanation:
7.6x5 = 38
7×4 = 28
Discarded Number: 38-28 = 10
IMO-D
Posted from my mobile device
7.6x5 = 38
7×4 = 28
Discarded Number: 38-28 = 10
IMO-D
Posted from my mobile device
19 Jul 2021, 03:53
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You can solve algebraically: the sum of the five numbers is (5)(7.6) = 38, and after discarding one number, the sum of the remaining four numbers is (4)(7) = 28, so the discarded number is 10.
It's a weighted average problem, so you can also use alligation to solve, though for this particular problem, algebra is just as fast.
It's a weighted average problem, so you can also use alligation to solve, though for this particular problem, algebra is just as fast.
