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In a cricket match Kumble took three wickets less than twice the number of wickets taken by Srinath. The product of the number of wickets taken by these two is 20, then the number of wickets taken by Kumble is
- a)2
- b)4
- c)10
- d)5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a cricket match Kumble took three wickets less than twice the numbe...
Explanation:
Let the number of wickets taken by Srinath be x then the number of wickets taken by Kumble will be 2x−3
According to question, x(2x−3)=20
According to question, x(2x−3)=20
Most Upvoted Answer
In a cricket match Kumble took three wickets less than twice the numbe...
Let the number of wickets taken by Srinath be 'x'.
According to the given information, Kumble took three wickets less than twice the number of wickets taken by Srinath.
So, the number of wickets taken by Kumble = 2x - 3.
The product of the number of wickets taken by these two is 20, so we have the equation:
x * (2x - 3) = 20.
To solve this equation, we can simplify it:
2x^2 - 3x - 20 = 0.
To factorize this quadratic equation, we need to find two numbers whose product is -40 and whose sum is -3.
The numbers are -8 and 5.
So, the equation can be factored as:
(2x + 5)(x - 4) = 0.
Setting each factor equal to zero, we get:
2x + 5 = 0 or x - 4 = 0.
Solving these equations, we find:
x = -5/2 or x = 4.
Since the number of wickets cannot be negative, we discard the first solution.
Therefore, the number of wickets taken by Srinath is 4.
Substituting this value back into the equation for Kumble's wickets, we find:
Kumble = 2(4) - 3 = 8 - 3 = 5.
Thus, the number of wickets taken by Kumble is 5, which corresponds to option (D).
According to the given information, Kumble took three wickets less than twice the number of wickets taken by Srinath.
So, the number of wickets taken by Kumble = 2x - 3.
The product of the number of wickets taken by these two is 20, so we have the equation:
x * (2x - 3) = 20.
To solve this equation, we can simplify it:
2x^2 - 3x - 20 = 0.
To factorize this quadratic equation, we need to find two numbers whose product is -40 and whose sum is -3.
The numbers are -8 and 5.
So, the equation can be factored as:
(2x + 5)(x - 4) = 0.
Setting each factor equal to zero, we get:
2x + 5 = 0 or x - 4 = 0.
Solving these equations, we find:
x = -5/2 or x = 4.
Since the number of wickets cannot be negative, we discard the first solution.
Therefore, the number of wickets taken by Srinath is 4.
Substituting this value back into the equation for Kumble's wickets, we find:
Kumble = 2(4) - 3 = 8 - 3 = 5.
Thus, the number of wickets taken by Kumble is 5, which corresponds to option (D).
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In a cricket match Kumble took three wickets less than twice the number of wickets taken by Srinath. The product of the number of wickets taken by these two is 20, then the number of wickets taken by Kumble isa)2b)4c)10d)5Correct answer is option 'D'. Can you explain this answer?
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