Question 885361
Let U = Uncle

Let n = Nephew

Here is your system of equations:

u + 3 = 3(n + 3)
u - 2 = 4(n - 2)

After solving the system by substitution, I got n = 12.

Let's plug n = 12 into either equation above to find u.

u + 3 = 3(12 + 3)

u + 3 = 36 + 9

u + 3 = 45

u = 45 - 3

u = 42

The nephew is 12 and the uncle is 42. 

NOTE: 42 is thrice as old

42 + 3 = 3(12 + 3)

45 = 36 + 9

45 = 45

MORE PROVE:

u - 2 = 4(n - 2)

42 - 2 = 4(12 - 2)

40 = 4(10)

40 = 40

The nephew is 12 now and the uncle is 42 now.