Question 150410
In a two-digit number, the ten's digit is 3 more than the one's digit. If the digits are reversed, the difference between the two numbers is 27. Find the number.
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Let the number be 10t + u where t is the tens digit and u is the units digit.
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EQUATIONS:
t = u+3
(10t+u)-(10u+t) = 27
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Rearrange:
t  - u  = 3
9t - 9u = 27
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Simplify:
t - u = 3
t - u = 3
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solution: t = u+3
The number is 30 or 41, or 52, or 63, 74, 85, 96 
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All these numbers are correct answers.
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Cheers,
Stan H.