Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 148542This question is from textbook math word problems demystified
: Please show me the steps to solve this equation:
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 math word problems demystified
: Please show me the steps to solve this equation:
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.

Answer by scott8148(2594) About Me  (Show Source):
You can put this solution on YOUR website!
let t="ten's digit" and u="unit's digit"

"In a two-digit number, the ten's digit is 3 more than the one's digit" __ t=u+3

"If the digits are reversed, the difference between the two numbers is 27" __ (10t+u)-(10u+t)=27

9t-9u=27 __ dividing by 9 __ t-u=3 __ adding u __ t=u+3

since the two equations are basically the same, there is no unique solution
__ any two digits, where one is 3 more than the other, will work