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A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
To solve this problem, let’s denote the batsman’s average before the 17th inning as A.
Before the 17th inning:
- Total runs = A * 16 (since there are 16 innings before the 17th)
- Total innings = 16
After the 17th inning:
- Total runs = (A + 3) * 17 (since the batsman’s average increases by 3)
- Total innings = 17
According to the problem, the batsman makes a score of 87 runs in the 17th inning.
So, the equation can be set up as:
(A * 16 + 87) / 17 = A + 3
Now, let’s solve for A:
(A * 16 + 87) / 17 = A + 3
Multiplying both sides by 17:
A * 16 + 87 = 17 * (A + 3)
A * 16 + 87 = 17A + 51
Subtracting 16A from both sides:
87 = 17A – 16A + 51
87 = A + 51
Subtracting 51 from both sides:
36 = A
So, the batsman’s average before the 17th inning is 36.
Now, let’s find his average after the 17th inning:
Average after 17th inning = A + 3 Average after 17th inning = 36 + 3 Average after 17th inning = 39
Therefore, the batsman’s average after the 17th inning is 39.
How to FInd the Average in Mathematics?
Finding the average, also known as the arithmetic mean, is a common mathematical operation used to summarize a set of numbers. To find the average of a set of numbers, you follow these steps:
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Add up all the numbers: Start by adding together all the numbers in the set. This will give you the total sum of the numbers.
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Count the total number of values: Determine how many numbers are in the set. This will be the total count of values.
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Divide the sum by the count: Divide the total sum by the total count of values. This will give you the average.
The formula for finding the average (mean) is:
Average = (Sum of all numbers) / (Total count of numbers)
For example, let’s say you have a set of numbers: 5, 10, 15, 20, and 25.
- Add up all the numbers: 5 + 10 + 15 + 20 + 25 = 75
- Count the total number of values: There are 5 numbers in the set.
- Divide the sum by the count: 75 / 5 = 15
So, the average of the set of numbers {5, 10, 15, 20, 25} is 15.
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Source: Math Hello Kitty
Categories: Math
