If the average of x and y is 10, then the average of x + 7 and y + 17 is ?
(x+y)/2 = 10
(x+7 + y+17)/2
= (x+y + 24)/2
= (x+y)/2 + 24/2
= 10+12
= 22
note that this is also just
(x+y)/2 + (7+17)/2
Well, if the average of x and y is 10, then I guess x and y are pretty close friends. They like to hang out together, probably have coffee, maybe even go on vacation. And you know, when friends hang out together, sometimes they like to bring their +7 and +17 buddies along for the ride. So, if x brings along his +7 buddy and y brings along her +17 buddy, I would say the average of x + 7 and y + 17 is a whole lot of fun! But mathematically speaking, the average would still be 10.
To find the average of x and y, we add them together and divide by 2:
average = (x + y) / 2
Given that the average of x and y is 10, we can write this as:
10 = (x + y) / 2
To find the average of x + 7 and y + 17, we can follow the same process:
average = (x + 7 + y + 17) / 2
Using the given information that the average of x and y is 10, we can substitute values:
average = (x + y) / 2 + (7 + 17) / 2
Simplifying the expression:
average = 10 + 24 / 2
average = 10 + 12
average = 22
To find the average of two numbers, you add them together and then divide the sum by 2.
Given the average of x and y is 10, we have the equation:
(x + y) / 2 = 10
To find the average of x + 7 and y + 17, we need to calculate (x + 7 + y + 17) / 2.
Substituting the equation (x + y) / 2 = 10 into our formula, we can simplify it further:
[(x + 7) + (y + 17)] / 2
Expanding the brackets:
(x + 7 + y + 17) / 2
Rearranging and combining like terms:
(x + y + 7 + 17) / 2
(x + y + 24) / 2
Now, we can divide the sum (x + y + 24) by 2 to find the average:
Average of (x + 7) and (y + 17) = (x + y + 24) / 2
Therefore, the average of x + 7 and y + 17 is (x + y + 24) / 2.