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The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number?
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The average of 13 results is 39,that of the first five is 38 and that ...
Problem:
The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. Find the value of the 6th number?
Solution:
Let's denote the sum of the first five numbers as 'x' and the sum of the last seven numbers as 'y'.
- Sum of 13 results = 13 * 39 = 507
- Sum of first five results = 5 * 38 = 190
- Sum of last seven results = 7 * 36 = 252
- x + y + 6th number = 507 (sum of all 13 numbers)
- x + 6th number = 190 (sum of first five numbers)
- y + 6th number = 252 (sum of last seven numbers)
Now, we can solve for the 6th number:
- x + y + 6th number = 507
- x + 6th number = 190
- y + 6th number = 252
- Adding the second and third equations gives us: x + y + 2(6th number) = 442
- Substituting the first equation into this: 507 + 2(6th number) = 442
- 2(6th number) = -65
- 6th number = -32.5
However, this answer doesn't make sense as the 6th number cannot be negative. Therefore, there must have been an error in the question or in our calculations.
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The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number?
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The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number?.
The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 13 results is 39,that of the first five is 38 and that of the last seven is 36. find the value of the 6th number?.
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