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A bowler in a certain number of innings gave 725 runs, in the next match he took 6 wickets and gave 360 runs, as a result of this, his average (No. of wickets taken) went up by 6. How many wickets did the bowler take before the last match?

A bowler in a certain number of innings gave 725 runs, in the next match he took 6 wickets and gave 360 runs, as a result of this, his average (No. of wickets taken) went up by 6. How many wickets did the bowler take before the last match? Correct Answer 23

In a match, a bowler gave 360 runs for 6 wickets,

⇒ Average = 360/6 = 60 runs/wkt

Let the average be x runs/wkts

Using allegation,

Average                       x                                  60

                                                    x + 6

Wickets                       54 – x                           6

As, the bowler in a certain number of innings gave 725 runs,

⇒ x × (54 – x) = 725

⇒ x × (54 – x) = 29 × 25

⇒ x = 29

⇒ Wickets taken before the match = 29 – 6 = 23

∴ The bowler took 23 wickets before the last match.

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