the sum of my digits is 13, my hundredths place is 3 less than 5, my ones place is 4 more than 3, my thousands place is even, what 4-digit numbers can I be

z 2 x y

z + 2 + x + 7 = 13

z is even or z = 2 w

2w + 2 + x + 7 = 13

2 w + x = 4

x must also be even or 0

x = 0 then w = 1

if x = 2 then w = 1
so
if x = 0 then w = 2

2227
4207