I need help with my honors Algebra 2 homework

Question

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?

Answer 1

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

 

 

Answer 2

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