6 and 14 Solution x - y= 8, so x =8 + y, (x + y)/2 = 10, x + y = 20, Substituting x = 8 + y, we have: 2 y + 8 = 20, or 2y = 12, y = 6, x = 6+8= 14
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To find the two numbers that have a mean of 10 and a range of 8, we first need to calculate the sum of the two numbers, which is 10 x 2 = 20. Since the range is 8, one number must be 4 units above and the other 4 units below the mean. Therefore, the two numbers are 14 and 6, as 14 - 6 = 8.
Well, darling, if the mean is 10 and the range is 8, we can deduce that the two numbers are 6 and 14. How, you ask? Well, just add the range to the mean and divide by 2 to get the larger number, and subtract the range from the mean and divide by 2 to get the smaller number. Easy peasy lemon squeezy!
To find two numbers with a mean of 10 and a range of 8, we can set up a system of equations. Let x be the smaller number and y be the larger number. We know that (x+y)/2 = 10 (mean of 10) and y-x = 8 (range of 8). Solving these equations simultaneously, we get x = 6 and y = 14. Therefore, the two numbers are 6 and 14.
Range means the difference between the greatest and smallest numbers in a sequence of numbers. For example: 1,2,4,5,6,7,7,10,11 11-1=10, therefore the range is 10.
To find range you simply subtract the highest and lowest numbers in a set. So that means to find two numbers with a range of 7, you must choose two numbers that are 7 apart.Some numbers with a range of 7 are:-3 and 40 and 73 and 10
As there are two numbers, the range is the difference between themAs there are 2 numbers the mean is exactly in the middle of them.Thus half the range is less than the mean and half the range is greater than the mean.Thus the two numbers are 10 ± (4/2) = 10 ± 2 = 8 and 12.Algebraically, this can be seen:Let the two numbers be x and y with y > xThen:their range is y - x = 4; andtheir mean is (x + y) / 2 = 10{2} can be rearrange to give x + y = 10 × 2 → y + x = 20adding {3} to {1} yields: (y + y) + (-x + x) = 20 + 4 → 2y = 24 → y = 12subtracting {1} from {3} yields (y - y) + (x - -x) = 20 - 4 → 2x = 16 → x = 8→ the two numbers are 8 and 12.
Multiply 10 by any number except zero, then divide 10 by the same number. The geometric mean of those two numbers will be 10.