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If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number?
Most Upvoted Answer
If average of 10 number is 20 .Out of which the average of fist 6 numb...
Understanding the Problem
To find the seventh number, we will use the information provided about averages and total sums of the numbers.
Step 1: Calculate Total Sum of 10 Numbers
- Average of 10 numbers = 20
- Total sum of 10 numbers = Average × Number of items = 20 × 10 = 200
Step 2: Calculate Total Sum of First 6 Numbers
- Average of first 6 numbers = 15
- Total sum of first 6 numbers = Average × Number of items = 15 × 6 = 90
Step 3: Calculate Total Sum of Last 3 Numbers
- Average of last 3 numbers = 16
- Total sum of last 3 numbers = Average × Number of items = 16 × 3 = 48
Step 4: Calculate the Seventh Number
- Total sum of first 6 numbers = 90
- Total sum of last 3 numbers = 48
- Total sum of all 10 numbers = 200
Now, we can express the total sum of all numbers as:
Total sum = Sum of first 6 numbers + Seventh number + Sum of last 3 numbers
So, we have:
200 = 90 + Seventh number + 48
Step 5: Solve for the Seventh Number
- Combine the sums of the first 6 and last 3 numbers:
200 = 138 + Seventh number
- Isolate the Seventh number:
Seventh number = 200 - 138 = 62
Conclusion
The seventh number is 62. This process involved calculating sums based on averages and systematically breaking down the problem into manageable parts.
To find the seventh number, we will use the information provided about averages and total sums of the numbers.
Step 1: Calculate Total Sum of 10 Numbers
- Average of 10 numbers = 20
- Total sum of 10 numbers = Average × Number of items = 20 × 10 = 200
Step 2: Calculate Total Sum of First 6 Numbers
- Average of first 6 numbers = 15
- Total sum of first 6 numbers = Average × Number of items = 15 × 6 = 90
Step 3: Calculate Total Sum of Last 3 Numbers
- Average of last 3 numbers = 16
- Total sum of last 3 numbers = Average × Number of items = 16 × 3 = 48
Step 4: Calculate the Seventh Number
- Total sum of first 6 numbers = 90
- Total sum of last 3 numbers = 48
- Total sum of all 10 numbers = 200
Now, we can express the total sum of all numbers as:
Total sum = Sum of first 6 numbers + Seventh number + Sum of last 3 numbers
So, we have:
200 = 90 + Seventh number + 48
Step 5: Solve for the Seventh Number
- Combine the sums of the first 6 and last 3 numbers:
200 = 138 + Seventh number
- Isolate the Seventh number:
Seventh number = 200 - 138 = 62
Conclusion
The seventh number is 62. This process involved calculating sums based on averages and systematically breaking down the problem into manageable parts.
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If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number?
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If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number?.
If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If average of 10 number is 20 .Out of which the average of fist 6 number is 15 .The average of last 3 number is 16 then what will seventh number?.
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