Answer :
Final Answer:
Two values of x that satisfy the given conditions are 25 and 14.
Explanation:
To find the values of x that fit the given conditions, we must first determine the range of the given numbers. The range is the difference between the largest and smallest numbers in the set.
Given set: 26, 20, 31, x, 16, 18, 15, 40
Largest number: 40
Smallest number: 15
Range = Largest number - Smallest number = 40 - 15 = 25
Now, we know that the range of the numbers is 64. To find the values of x, we need to find two numbers that are 25 units apart and within the range of the given numbers.
One possible set of values for x could be 25 and 14:
x = 25: This fits within the range and maintains the 25-unit gap between the largest (40) and smallest (15) numbers.
x = 14: Similarly, this value also satisfies the conditions, as it maintains the range of 25 units and fits within the given set.
In conclusion, the values of x that meet the specified criteria are 25 and 14, as they create a range of 25 units within the set of numbers provided.
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