Algebra House
  • Home
  • Ask a Question
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
    • Scientific Calculator
  • Class
    • Algebra 2 Notes, Assignments, and Videos
    • Algebra 3 Notes, Assignments, and Videos
  • Contact
    • Contact Algebra House

Age problem

9/4/2015

 
Daniel is 28 years younger than Kevin.  Kevin and Daniel first met 3 years ago.  Eight years ago, Kevin was 5 times as old as Daniel.  How old is Daniel now?
k = Kevin's age now
k - 28 = Daniel's age now 


The fact that they met 3 years ago means nothing. 

k - 8 = Kevin's age 8 years ago   {subtracted 8 from Kevin's age now}
k - 36 = Daniel's age 8 years ago   {subtracted 8 from Daniel's age now} 

k - 8 = 5(k - 36)   {8 years ago, Kevin was 5 times as old as Daniel}
k - 8 = 5k - 180   {used distributive property}
-8 = 4k - 180   {subtracted k from each side}
4k = 172   {added 180 to each side}
k = 43   {divided each side by 4}
k - 28 = 15   {substituted 43, in for k, into k - 28} 

Daniel is 15 now.


- Algebra House


Comments are closed.

    Ask a Question





    Examples

    All
    All Word Problems
    Basic Math
    Combining Like Terms
    Distributive Property
    Equations Of Lines
    Exponents
    Factoring
    Foil Method
    Functions
    Geometry
    Graphing
    Imaginary Numbers
    Inequalities
    Linear Equations
    Literal Equations
    Miscellaneous
    Percents
    Pythagorean Theorem
    Quadratic Equations
    Radicals
    Simplifying
    Slopes And Intercepts
    Solving Equations
    System Of Equations
    Word Problems Age
    Word Problems Distance
    Word Problems Geometry
    Word Problems Integers
    Word Problems Misc.
    Word Problems Mixture
    Word Problems Money
    Word Problems Number



Algebra House