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The average of four positive integers is 72.5, the highest integer is 117 and the lowest integer is 15. The difference between the remaining two integers is 12. Which is the higher of these two remaining integers?
  • a)
    73
  • b)
    84
  • c)
    70
  • d)
    None of these
  • e)
    None of the above/More than one of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average of four positive integers is72.5, the highest integer is 1...

Sum of two number = 72.5 x 2 + 13 = 158

Hence, 85 is higher of two remaining numbers.
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Community Answer
The average of four positive integers is72.5, the highest integer is 1...
To find the higher of the two remaining integers, we need to determine the value of the other integer first. Let's assume the two remaining integers are x and y, where x is the higher of the two.

Given information:
- Average of four positive integers = 72.5
- Highest integer = 117
- Lowest integer = 15
- Difference between the remaining two integers = 12

We can use the formula for average to find the sum of the four integers:
Sum = Average * Number of Integers

Substituting the given values, we have:
Sum = 72.5 * 4 = 290

We know that the highest integer is 117 and the lowest integer is 15. So the sum of these two integers is:
117 + 15 = 132

Now, we can find the sum of the remaining two integers by subtracting the sum of the highest and lowest integers from the total sum:
Sum of remaining two integers = 290 - 132 = 158

Since the difference between the remaining two integers is 12, we can set up the following equation:
x - y = 12

We need to find the value of x, which is the higher of the two remaining integers.

To solve for x, we can use the fact that the sum of the two remaining integers is 158. Let's substitute y = (x - 12) into the equation:
x + (x - 12) = 158
2x - 12 = 158
2x = 158 + 12
2x = 170
x = 170 / 2
x = 85

Therefore, the higher of the two remaining integers is 85. However, none of the given options (a, b, c) matches this value. Therefore, the correct answer is option D - None of these.
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The average of four positive integers is72.5, the highest integer is 117 and the lowest integer is 15. The difference between the remaining two integers is12.Which is the higher of these two remaining integers?a)73b)84c)70d)None of thesee)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer?
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