JOE is 16. There is more information provided in the question than needed.
Method 1:
Assume JOE's age to be X, then your age is (X-2) and TOM's age is (X-4). Therefore, Adding all we get (3X-6)=42. So, 3X = 48 and X= 16, which is JOE's age.
Method 2:
JOE's age = X (assume), then TOM's age is (X-4).
Given: 2 times TOM's age is 1/2 of 3 times JOE's age. Therefore, 2*(X-4)= (1/2)*(3*(X))
Solving we get 4*(X-4)= 3*X
or 4X-16=3X
Hence X=16. Solved.
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