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 >

Jairo is 4 years older than his sister Emma. The sum of the squares of their ages is 58. How old is Emma?

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

Solution

Jairois4yearsolderthanhissisterEmma.Thesumofthesquaresoftheiragesis58.HowoldisEmma?

Solution

Emma′sageis:3
Solution steps
Translate the problem into an equation:x2+(x−4)2=58
Solve for x,x2+(x−4)2=58:x=7,x=−3
Find Emma's age:3
Emma′sageis:3

Popular Examples

0.75 of what number is 1/2Hannah opened a savings account and deposited 600.00 as principal. The account earns 14% interest, compounded annually. What is the balance after 8 years?Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.A product sells at a regular price of 120 which is on sale for 65% off the regular price. Find the sale price. Be sure to round your answer to the nearest cent.Darren is 6 years older than Lee. Barry is 9. Harper is 3 years younger than Barry and 1 year younger than Lee. How old is Lee?
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