2,5,7,10 would be one solution.
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8 and 4
{4,6,8}
4 4 6 6 10
To find the three numbers with a range of 6 and a mean of 4, we need to consider the spread of the numbers around the mean. Let's call the three numbers x, y, and z. Since the range is 6, the difference between the largest and smallest numbers is 6. To maximize the range while keeping the mean at 4, we can set x = 1, z = 7, and y = 4. Therefore, the three numbers are 1, 4, and 7.
3, 4, 5, 6, 7, 8, and 9.