Two years ago pete was three times as old as his cousin claire. two years before that, pete was four times as old as claire. in how many years will the ratio of their ages be 2: 1? explain or show work

4

Step-by-step explanation:

Let P represent Pete's age today.  Let C represent Claire's age today.

2 years ago: P - 2 = 3(C - 2)  ⇒  P - 2 = 3C - 6   ⇒  P = 3C - 4

4 years ago: P - 4 = 4(C - 4)  ⇒  P - 4 = 4C - 16   ⇒  P = 4C - 12

Use substitution to solve the system above:

3C - 4 = 4C - 12

     - 4 = C - 12

       8 = C

Plug in the C-value above into one of the equations to solve for P:

P = 3C - 4

  = 3(8) - 4

  = 24 - 4

  = 20

So, Pete is 20 yrs old today and Claire is 8 years old today

When will Pete be twice as old as Claire?

20 + x = 2(8 + x)

20 + x = 16 + 2x

20       = 16 + x

4          = x

Their ages will have a 2:1 ratio in 4 years.  

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?