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A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match?
Most Upvoted Answer
A man whose bowling average is 15, takes 4 wickets for 176 and there b...
Explanation:
Given:
- Bowling average before the last match = 15
- Total wickets taken before the last match = x
- Total runs given before the last match = y
After the last match:
- Bowling average = 16
- Total wickets taken = x + 4
- Total runs given = y + 176
Calculating the new average:
- (Total runs given / Total wickets taken) = 16
- (y + 176) / (x + 4) = 16
- y + 176 = 16(x + 4)
- y + 176 = 16x + 64
- y - 16x = -112 ...(i)
Using the initial average:
- (Total runs given / Total wickets taken) = 15
- y / x = 15
- y = 15x ...(ii)
Substitute equation (ii) into equation (i):
- 15x - 16x = -112
- x = 112
Therefore, the number of wickets taken by him before the last match is 112.
Given:
- Bowling average before the last match = 15
- Total wickets taken before the last match = x
- Total runs given before the last match = y
After the last match:
- Bowling average = 16
- Total wickets taken = x + 4
- Total runs given = y + 176
Calculating the new average:
- (Total runs given / Total wickets taken) = 16
- (y + 176) / (x + 4) = 16
- y + 176 = 16(x + 4)
- y + 176 = 16x + 64
- y - 16x = -112 ...(i)
Using the initial average:
- (Total runs given / Total wickets taken) = 15
- y / x = 15
- y = 15x ...(ii)
Substitute equation (ii) into equation (i):
- 15x - 16x = -112
- x = 112
Therefore, the number of wickets taken by him before the last match is 112.
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A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match?
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A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match?.
A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man whose bowling average is 15, takes 4 wickets for 176 and there by increases his average by 1. What is the number of wickets taken by him before the last match?.
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