SOLUTION: The units digit of a two-digit number is 1 less than 3 times the tens digit. if the digits are reversed , the new number is 45 more than the original number. find the number .

Question 853708: The units digit of a two-digit number is 1 less than 3 times the tens digit. if the digits are reversed , the new number is 45 more than the original number. find the number .
what i have so far
U= 3X-1 (u being unit , x being tens)
10x+ U = 10u+x -45
plugged everything and answer came out decimals. which isn't on the answer sheet lol . i probably did some wrong math somewhere down the line. help me out . Thx
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
"IF THE DIGITS ARE REVERSED".... This means, .

Forty five more than the original number: .

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Also, stay with one case level or the other. Do not mix them for the same expression or the same number. ; ,...
... otherwise, your first two steps seem good so far. I think your second step was going off-track.

and ;

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Substitute using the U equation ...

----------result
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----------result
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ORIGINAL NUMBER = 83.
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