> Roy is now 4 years older than Erik
$$ R = E + 4 $$
> and half of that amount older than Iris.
$$ R = I + 2 $$
> If in 2 years, roy will be twice as old as Erik
$$ (R + 2) = 2(E + 2) $$
> then in 2 years what would be Roy's age multiplied by Iris's age?
$$ (R + 2)(I+2) = \;\; ? $$
Then you just solve the equations. Hopefully you can see that this method will apply to any similar problem equally well.