# SOLUTION: when a number is decreased by 30% the result is 140, what is the number? when 50% of a number is added to it the result if 180, what is the number? thank you very much..

Algebra ->  Algebra  -> Percentages: Solvers, Trainers, Word Problems and pie charts  -> Lessons -> SOLUTION: when a number is decreased by 30% the result is 140, what is the number? when 50% of a number is added to it the result if 180, what is the number? thank you very much..      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Percentage and Pie Charts Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on percentage Question 52339: when a number is decreased by 30% the result is 140, what is the number? when 50% of a number is added to it the result if 180, what is the number? thank you very much..Answer by sumanth18(2)   (Show Source): You can put this solution on YOUR website!when a number is decreased by 30% the result is 140, what is the number? Lets begin by assuming the original number to be X. Then according to the statement : X-(30/100)*X= 140 Multiply be denominator 100 on both sides we get, 100X-30X= 14000 70X=14000 i.e X=14000/70=200 Therefore the value of X=200 Cross Verification ------------------ 30% of 200 is 200*30/100=60 Decreasing 200 by 60 we get, 200-60 =140 2) when 50% of a number is added to it the result if 180 Let original number be X. In this case we get, X+(50/100)X=180 Solving using above way we get X=120 Cross Verification ------------------ 50% of 120 is 120*50/100=60 Adding 60+120=180