SOLUTION: when this 3-digit number is rounded to the nearest the, the sum of its digits is 16.The hundreds digit of this number is 8 and the ones digits is 5. What is the number?

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Question 892822: when this 3-digit number is rounded to the nearest the, the sum of its digits is 16.The hundreds digit of this number is 8 and the ones digits is 5. What is the number?
Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
.The hundreds digit of this number is 8 and the ones digits is 5.
So we know this much:

8_5

We just need to know the middle (tens) digit.

3-digit number is rounded to the nearest ten, the sum of its digits is 16
When the number is rounded to the nearest ten, the number will have
a 0 on the right end like this

8_0

In order to have a sum of 16, the missing digit in that rounded version
will be 8, so we have:

880 for the rounded version.

Since the original number ended in 5, it had to cause the middle
digit to round up.  So the tens digit must have been a 7.

Therefore the original number had to be

875.

That way when rounded to the nearest ten, it would give 880,
and the sum of those digits is 16.

Answer: 875.

Edwin






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