SOLUTION: The units digit of a two-digit number is 40% of the tens digit. If the digits are reversed, the resulting number is 27 less than the original number. What is the original number?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The units digit of a two-digit number is 40% of the tens digit. If the digits are reversed, the resulting number is 27 less than the original number. What is the original number?      Log On


   

Question 76045This question is from textbook Algebra 1 Expressions, Equations, and Applications
: The units digit of a two-digit number is 40% of the tens digit. If the digits are reversed, the resulting number is 27 less than the original number. What is the original number? This question is from textbook Algebra 1 Expressions, Equations, and Applications

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
translating from english to algebrese...u=.4t...10t+u=10u+t+27...so 9t-9u=27

substituting the value of u from the first equation gives...9t-3.6t=27...so t=5 and (from first equation) u=2...original number is 52