Answer:
Step-by-step explanation:To find the values of x and y in the equation 46, x, y, 10 such that the mean and median of the five numbers are the same, we can follow these steps:
Step 1: Arrange the numbers in ascending order.
The numbers are 46, x, y, 10. In ascending order, they become 10, x, y, 46.
Step 2: Find the median.
Since there are five numbers, the median is the middle number when arranged in ascending order. In this case, the median is y.
Step 3: Find the mean (average).
The mean of the five numbers is (10 + x + y + 46)/5.
Now, according to the problem, the mean and the median are the same, so:
y = (10 + x + y + 46)/5
Now, we can solve this equation for x and y:
5y = 10 + x + y + 46
Combine like terms:
5y = x + y + 56
Subtract y from both sides:
4y = x + 56
Now, we have an equation relating x and y. To solve for x, you can express x in terms of y:
x = 4y - 56
So, the values of x and y that satisfy the condition that the mean and median are the same are given by:
x = 4y - 56
This equation relates x and y, and you can choose any value for y to find the corresponding value of x.