SOLUTION: The digit of two digit numbers are interchanged the new number is 45 more than the original number. If the difference between the digit is 5.what is the original number

Question 1083489: The digit of two digit numbers are interchanged the new number is 45 more than the original number. If the difference between the digit is 5.what is the original number
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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16.

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For interchanging digits in two-digit numbers see the lesson
    - Word problems on interchanging digits of numbers
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Miscellaneous word problems".

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The digit of two digit numbers are interchanged the new number is 45 more than the original number. If the difference between the digit is 5.what is the original number

With T being the tens digit and U the units digit, the equation becomes: 11T - 11T = 50 - 50 ======> 0 = 0
This means that all digits that differ by 5 can be that number. In other words, the number can be 16, 27, 38, or 49.
You should notice that the UNITS digit is larger in all since the interchanged number is LARGER.
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