SOLUTION: 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 tw
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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
Answer by scott8148(6628) (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
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