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If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers?
Most Upvoted Answer
If the average of 5 positive integers is 40 and the difference between...
Given Information:
- Average of 5 positive integers = 40
- Difference between largest and smallest integers = 10
Approach:
To maximize the largest number, we need to minimize the smallest number while keeping the average constant at 40. This can be achieved by setting the four other numbers to be equal to the smallest number.
Calculation:
Let the smallest number be x. Then, the other four numbers are also x.
The sum of these 5 numbers is 5x.
Given that the average of these 5 numbers is 40:
5x / 5 = 40
x = 40
The smallest number is 40.
The largest number = smallest number + difference
= 40 + 10
= 50
Therefore, the maximum possible value for the largest of these 5 numbers is 50.
- Average of 5 positive integers = 40
- Difference between largest and smallest integers = 10
Approach:
To maximize the largest number, we need to minimize the smallest number while keeping the average constant at 40. This can be achieved by setting the four other numbers to be equal to the smallest number.
Calculation:
Let the smallest number be x. Then, the other four numbers are also x.
The sum of these 5 numbers is 5x.
Given that the average of these 5 numbers is 40:
5x / 5 = 40
x = 40
The smallest number is 40.
The largest number = smallest number + difference
= 40 + 10
= 50
Therefore, the maximum possible value for the largest of these 5 numbers is 50.
Community Answer
If the average of 5 positive integers is 40 and the difference between...
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If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers?
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If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers?.
If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the average of 5 positive integers is 40 and the difference between largest and smallest of those 5 numbers is 10, what is the maximum possible value for the largest of these 5 numbers?.
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