Use a Variable 3-Digit Number The sum of the digits of a three-digit number is 18. If the second and third digits were interchanged, the given number would be iricreased by 36. If the first and third digits were interchanged, the new number would be 99 less than the original number. Find the number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use a Variable
3-Digit Number
The sum of the digits of a three-digit number is 18. If the
second and third digits were interchanged, the given
number would be iricreased by 36. If the first and third
digits were interchanged, the new number would be 99 less
than the original number. Find the number.
Transcribed Image Text:Use a Variable 3-Digit Number The sum of the digits of a three-digit number is 18. If the second and third digits were interchanged, the given number would be iricreased by 36. If the first and third digits were interchanged, the new number would be 99 less than the original number. Find the number.
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