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If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
  • a)
    50
  • b)
    52
  • c)
    49
  • d)
    48
  • e)
    44
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the average of 5 positive integers is 40 and the difference between...
The maximum value possible for the largest of these 5 integers is 48.

Explanation:

- Average of 5 positive integers is 40
Given that the average of the 5 positive integers is 40. This means that the sum of these 5 integers is 5 * 40 = 200.

- Difference between the largest and smallest numbers is 10
Let the smallest number be x. Then, the largest number would be x + 10. The sum of the 5 numbers can be expressed as x + (x+1) + (x+2) + (x+3) + (x+10) = 200.

- Simplifying the equation
Combining like terms, we get 5x + 16 = 200. Solving for x, we get x = 36. Therefore, the largest number is x + 10 = 36 + 10 = 46.

- Checking the options
Among the given options, the maximum value possible for the largest of these 5 integers is 48, which is the correct answer.

Therefore, the correct answer is option 'D' - 48.
Free Test
Community Answer
If the average of 5 positive integers is 40 and the difference between...
The average of 5 positive integers is 40. i.e., the sum of these integers = 5 × 40 = 200
Let the least of these 5 numbers be x.
Because the range of the set is 10, the largest of these 5 numbers will be x + 10.
If we have to maximize the largest of these numbers, we have to minimize all the other numbers.
That is 4 of these numbers are all at the least value possible = x.
So, x + x + x + x + x + 10 = 200
Or x = 38.
So, the maximum value possible for the largest of these 5 integers is 48.
Choice D is the correct answer.
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If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?a)50b)52c)49d)48e)44Correct answer is option 'D'. Can you explain this answer?
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