Çözüldü Decomposition of Natural Numbers

If xyzt and ztxy are two-digit numbers and xyzt - ztxy = 2277 what is the product of the values that (x + y) - (z + t) can hold?
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1000x + 100y + 10z + t - 1000z - 100t - 10x - y = 2277
990x + 99y - 990z - 99t = 2277
10x + y - 10z - t = 23 ⇒ 10(x - z) + (y - t) = 23....(I) or 10(x - z) - (t - y) = 23....(II)
(x + y) - (z + t) = (x - z) + (y - t)....(III)
From the equation (I), 10·2 + 3 = 23 so x - z = 2 with y - t = 3 and substituting these values in the equation (III), 2 + 3 = 5....(IV)
From the equation (II), 10·3 - 7 = 23 so x - z = 3 with t - y = 7 ⇒ y - t = -7 and substituting these values in the equation (III), 3 + (-7) = -4....(V)
Multiplying the values in (IV) and (V), 5·(-4) = -20