Solutions
Integral CalculatorDerivative CalculatorAlgebra CalculatorMatrix CalculatorMore...
Graphing
Line Graph CalculatorExponential Graph CalculatorQuadratic Graph CalculatorSin graph CalculatorMore...
Calculators
BMI CalculatorCompound Interest CalculatorPercentage CalculatorAcceleration CalculatorMore...
Geometry
Pythagorean Theorem CalculatorCircle Area CalculatorIsosceles Triangle CalculatorTriangles CalculatorMore...
Tools
NotebookGroupsCheat SheetsWorksheetsPracticeVerify
en
English
Español
Português
Français
Deutsch
Italiano
Русский
中文(简体)
한국어
日本語
Tiếng Việt
עברית
العربية
Popular Word Problems >

The sum of the ages of Bob and Cathy is 84 years. In 3 years, Bob will be twice as old as Cathy. How old is Cathy now?

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
  • Physics
  • Chemistry
  • Finance
  • Economics
  • Conversions

Solution

ThesumoftheagesofBobandCathyis84years.In3years,BobwillbetwiceasoldasCathy.HowoldisCathynow?

Solution

Cathy′sageis:27
Solution steps
Translate the problem into an equation:x+3=2(84−x+3)
Solve for x,x+3=2(84−x+3):x=57
Find Cathy's age:27
Cathy′sageis:27

Popular Examples

Hailey invested 1,700 in an account paying an interest rate of 2.2% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 2,590?Enola is going to invest in an account paying an interest rate of 5.1% compounded continuously. How much would Enola need to invest, to the nearest cent, for the value of the account to reach 12,800 in 10 years?Levi is going to invest in an account paying an interest rate of 3.4% compounded continuously. How much would Levi need to invest, to the nearest ten dollars, for the value of the account to reach 620 in 16 years?one number is greater by 6 than twice another number but 3 times the smaller number exceeds the greater by 1. Find the numbers.What is the original price of an item that costs 137.50 after a 45% discount?
Study ToolsAI Math SolverPopular ProblemsWorksheetsStudy GuidesPracticeCheat SheetsCalculatorsGraphing CalculatorGeometry CalculatorVerify Solution
AppsSymbolab App (Android)Graphing Calculator (Android)Practice (Android)Symbolab App (iOS)Graphing Calculator (iOS)Practice (iOS)Chrome ExtensionSymbolab Math Solver API
CompanyAbout SymbolabBlogHelp
LegalPrivacyTermsCookie PolicyCookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal ResourcesLearneo Legal Center
Social Media
Symbolab, a Learneo, Inc. business
© Learneo, Inc. 2024