in six years, Rose will be two times as old as Anne, Four years ago, Anne was one-third the age of Rose. How old are they now?

Question

How to solve this story problem?

 

Answer 1

Let x = Anne's current age

Let y = Rose's current age

y + 6 = 2(x + 6)

y + 6 = 2x + 12

y - 2x = 6      Equation #1

 

x - 4 = 1 (y - 4)

            3

3x - 12 = y - 4

3x - y = 8       Equation #2

 

 

Add Equations 1 and 2 together

 y - 2x = 6

-y + 3x = 8         x = 14

y - 2x = 6

y - 28 = 6

y = 34