SOLUTION: The tens digit of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceeds twice the original number by 2 more than the sum of the

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Question 1000886: The tens digit of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceeds twice the original number by 2 more than the sum of the digits. Find the original number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
10t%2Bu, is the number.

t=u%2F3 from description, which gives automatically certain possible combinations for u and t. Those you can easily identify:
t%2Fu=1%2F3=2%2F6=3%2F9, shows three possible combinations as a ratio.

Next part gives %2810u%2Bt%29-%2810t%2Bu%29=2%2B%28t%2Bu%29 when carefully analyzed and transcribed into the equation.

The rest is for you to do. Hopefully, no trouble.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

The tens digit of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceeds twice the original number by 2 more than the sum of the digits. Find the original number.
Original number: highlight_green%2826%29