# SOLUTION: when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 246274: when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number?Answer by ankor@dixie-net.com(15624)   (Show Source): You can put this solution on YOUR website!when its digits are reversed, a particular positive two-digit integer is increased by 20%. what is the original number? : Let 10x + y = the original two digit number then 10y + x = that number with digits reversed : 1.2 * a number = a number increased by 20% : 1.2(10x + y) = 10y + x 12x + 1.2y = 10y + x 12x - x = 10y - 1.2y 11x = 8.8y Divide both sides by 11 x = y x = .8y The only single digit integer that would satisfy this equation: y = 5, then x = 4 : 45 = the number 54 = 1.2(45); the number reversed