Final answer:
To find the value of x in the given equation (mean of 6x, 3x, and 5x is the same as mean of 40, 50, and 36), we can set up an equation and solve for x. After solving, we find that x = 27. Substituting this value into the expressions for 6x, 3x, and 5x gives us the three numbers in order from least to greatest: 81, 135, and 162.
Step-by-step explanation:
To find the value of x, we can set up an equation based on the given information. The mean of 6x, 3x, and 5x is equal to the mean of 40, 50, and 36. So, we can write the equation as:
(6x + 3x + 5x) / 3 = (40 + 50 + 36) / 3
Simplifying this equation, we get:
14x / 3 = 126 / 3
Cross multiplying, we get:
14x = 378
Dividing both sides of the equation by 14, we find that:
x = 27
So, x equals 27. To find the three numbers in order from least to greatest, we can substitute x = 27 into the expressions 6x, 3x, and 5x. This gives us:
6x = 6(27) = 162
3x = 3(27) = 81
5x = 5(27) = 135
Therefore, the three numbers in order from least to greatest are 81, 135, and 162.