SOLUTION: The sum of the digits of a three-digit number is 20. If the hundreds and unit digits were interchanged, the resulting number is 297 less than the original. Find the number if the h

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Question 1064280: The sum of the digits of a three-digit number is 20. If the hundreds and unit digits were interchanged, the resulting number is 297 less than the original. Find the number if the hundreds digit exceeds the tens digit by one.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Original number, 100h%2B10t%2Bu

system%28h%2Bt%2Bu=20%2C100h%2B10t%2Bu-%28100u%2B10t%2Bh%29=297%29

system%28h%2Bt%2Bu=20%2C99h-99u=297%29

system%28h%2Bt%2Bu=20%2Ch-u=3%29

Treat t as a constant.
system%28h%2Bu=20-t%2Ch-u=3%29
Continue with the Elimination Method. Remember, you are looking for only DIGITS for h, t, and u.