SOLUTION: The sum of the digits in a two digit numeral is 8. If the order of the digits is reversed, the result is 18 more than the original number. Find the original number.
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Question 859630: The sum of the digits in a two digit numeral is 8. If the order of the digits is reversed, the result is 18 more than the original number. Find the original number. Answer by solver91311(24713) (Show Source):
Let represent the 10s digit and represent the 1s digit. We can then represent the original number by and we can represent the number with the digits reversed by . We know the following facts:
and
Simplifying the second equation above yields:
Solve the 2X2 system:
John
My calculator said it, I believe it, that settles it
