A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets, taken by him, before his last match is ___________.

Let the wickets taken by him before the match be X.

The bowling average is given to be 12.4.

Total run = 12.4X

The runs scored including this match is given by 12.4X + 26 with the average of 12.

(12.4 X + 26) / (X + 5) = 12

12.4 X + 26 = 12X + 60

0.4X = 34

X = 85 wickets

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