Question

Write down 3 integers, all less than 25 whose range is 8 and mean is 13

Answer 1

To find three integers less than 25 with a range of 8 and a mean of 13, select numbers such that their sum is 39, two of them are 8 apart, and check that they meet the criteria. A set that works is 9, 13, and 17.

Step-by-step explanation:

To find 3 integers that are all less than 25 with a range of 8 and a mean of 13, the following steps can be used:

1. Given the mean (average) is 13 for three integers (x, y, z), their sum should be 3 times the mean: x + y + z = 13 * 3 = 39.
2. To ensure a range of 8, choose two numbers that are 8 apart, for instance, y = 9 and z = 17.
3. Now, substitute y and z in the sum equation: x + 9 + 17 = 39; thus, x = 39 - 26 = 13.
4. The three integers are 9, 13, and 17.

Note that all integers are less than 25, the range between the smallest and largest (17 - 9) is 8, and the mean (sum divided by 3) is exactly 13.

Answer 2

9, 13, 17

Step-by-step explanation:

The difference between the greatest value and the least is 8, the range.

Add the three numbers to total 39, then divide by 3 to get the mean, 13.