Let's assume Raj's present age is R.
According to the given information, Nora is twice as old as Raj, so Nora's present age is 2R.
Nora is also half as old as Ethan, so Ethan's present age is 2 * 2R = 4R.
In 22 years' time, Ethan will be twice as old as Raj, which can be represented as:
4R + 22 = 2(R + 22)
Now, let's solve this equation to find the value of R:
4R + 22 = 2R + 44
Subtracting 2R from both sides:
2R + 22 = 44
Subtracting 22 from both sides:
2R = 22
Dividing both sides by 2:
R = 11
Now we know Raj's present age is 11. Therefore, Nora's present age is 2R = 2 * 11 = 22.
So, Nora's present age is 22 years.