Question 482515
Ruby’s Present Age = R
Harry’s Present Age = H
Ruby is 14 years older than Harry. If we add 14 years to Harry’s age both Harry and Ruby will be of same age
R=H+14 …………(1)
In six years means we should add 6 to the Ruby and Harry ages.
R+6=H+6
In six years Ruby will be twice as old as Harry means
R+6=2(H+6) ………….(2)
Now solve (2)
R+6=2(H+6) 
R+6=2H+12
R=2H+12-6
R=2H+6 …………..(3)
Put the value of R from equation (1) to equations (3)
H+14=2H+6
14-6=2H-H
8=H
H=8
Put the value of H in equation (1)
R=8+14
R=22
So Ruby is 22 and Harry is 8 years old.