The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged, the new number is 55 more than twice the original number. If the hundreds and tens digits are interchanged, the new number is 2 more than thrice the original number. Find the number.

The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged, the new number is 55 more than twice the original number. If the hundreds and tens digits are interchanged, the new number is 2 more than thrice the original number. Find the number.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section: Chapter Questions

Problem 29CLR

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Question

The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged,
the new number is 55 more than twice the original number. If the hundreds and tens digits are
interchanged, the new number is 2 more than thrice the original number. Find the number.

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