Let the numbers be x and y. Then, x + y = 20 and x - y = 8.
x^2 - y^2 = (x + y) (x - y) = 20 x 8 = 160.
In the given series 1 4 9 16 22 36
1 = 1 x 1
4 = 2 x 2
9 = 3 x 3
16 = 4 x 4
25 = 5 x 5 (Not 22)
36 = 6 x 6
Hence, the odd man in the series is 22.
The given number series follows a pattern that
5 x 5 ? 1 = 24
24 x 4 ? 2 = 94
94 x 3 ? 3 = 279
279 x 2 ? 4 = 554
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