Question 105711
Paula is 12 years older than brother Bob. In 4 years, Bob will be 2/3 as old as Paula. How old are they now?


Let x: Bob's age
    x + 12: Paula's age


In four years:

Bob's age: x + 4
Paula's age: x + 16


Equation: x+4=(2/3)(x + 16)
          3(x+4)=(3)(2/3)(x+16)
          3x+12=2(x+16)
          3x+12=2x+32
          3x-2x=32-12
          x=20


          20+12=32


Bob's age now: 20
Paula's age: 32


Check: x+4=(2/3)(x + 16)
       20+4=(2/3)(20+16)
       24=(2/3)(36)
       24=24


By the way, I'm jermz (my nickname). Hope I helped!