SOLUTION: The sum of a two-digit number is 9. The number itself is 12 times the tenth digit minus 6 times the unit digit. Find the number.

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Question 934836: The sum of a two-digit number is 9. The number itself is 12 times the tenth digit minus 6 times the unit digit. Find the number.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
T, the digit in the tens place
U, the digit in the ones place
highlight_green%2810T%2BU%29 is the two-digit number

Your first sentence in the problem description is wrong. The sum of a number is just the number itself.
If this sum is 9, then this does not account for any two-digit number. I will ASSUME you mean that
the sum of THE DIGITS of the two digit number is 9, and this would be T%2BU=9.


Second sentence: 10T%2BU=12%2AT-6%2AU, and you mean, "TENS" but not "TENTH".

Your starting system is highlight%28system%2810T%2BU=12T-6U%2CT%2BU=9%29%29.
Solve the system for T and U.