The median of 5 consecutive numbers is 21. The range of the same set of numbers is 20. List out the 5 numbers. Show steps.

Answer 1

Let's call the first number in the set "x". Since the median of the set is 21, the second number in the set would be one more than the first number: x + 1. Similarly, the third number would be one more than the second number: (x + 1) + 1 = x + 2. The fourth number would be one more than the third number: (x + 2) + 1 = x + 3. Finally, the fifth number would be one more than the fourth number: (x + 3) + 1 = x + 4.

The range of the set is the difference between the largest and smallest numbers. We know that the largest number (x + 4) minus the smallest number (x) is equal to 20. So, (x + 4) - x = 20.

Simplifying this equation gives:
4 = 20

This is not possible. Therefore, there must be a mistake in the problem or its statement.