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I need help with my honors Algebra 2 homework

A father is 4 times as old as his daughter.  In 6 years, he will be 3 times as old as she is.  How old is the daughter now?

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Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
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F is father's age

D is daughter's age

F = 4D              eq. 1

F + 6 = 3(D + 6) eq. 2

let's substitute eq. 1 into eq. 2

4D + 6 = 3(D + 6)

4D + 6 = 3D + 18

4D - 3D = 18 - 6

D = 12

 

 

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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In these , so do speak word problems.
   Always choose a variable for unknown, what problem is asking you to find, and then convert English statements of problems to algebraic expression and solve like. here.
 
  D - daughters age
  F=4D  father's age.
  D+ 6 daughter's age after 6 years
  4D + 6= Father's age after 6 years.
 
    Now everything is expressed in terms of one variable D, the equation can be set and solved
 
    4D+ 6 = 3 ( D+6)
  
      4D+6  = 3D +18
       D =12            Daughter's age
       F = 4D = 48   Fathe's age