SOLUTION: 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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Question 150410This question is from textbook Word Problems Demystified
: 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. This question is from textbook Word Problems Demystified

Answer by stanbon(75887) About Me  (Show Source):
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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.