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Three whole numbers are each rounded to the nearest 10

The sum of the three rounded numbers is 80
What is the maximum possible sum of the original three numbers?

User Semiflex
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1 Answer

6 votes

9514 1404 393

Answer:

92

Explanation:

The maximum whole number that will round to 10 is 14, that is, it may be 4 more than the nearest 10.

If all three numbers are 4 more than the nearest 10, their maximum sum will be 12 more than the sum of the rounded numbers.

For example, consider the numbers 34, 34, 24. These have a sum of 92. When rounded to the nearest 10, their values are 30, 30, 20, which have a sum of 80.

The maximum sum of the three original whole numbers is 92.

User Pawan Singh
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