If the average of a, b, and 7 is 13; what is the average of a + 3, b - 5, and 6?
a + b + 7 = 13 * 3 ... a + b = 32
a + 3 + b - 5 + 6 = a + b + 4 = 36
... 36 / 3 = 12
Thank you
To find the average, we need to sum up the values and divide by the number of values.
The average of a, b, and 7 is given as 13. So, we can write an equation based on this information:
(a + b + 7) / 3 = 13
To find the value of (a + b + 7), we multiply both sides of the equation by 3:
(a + b + 7) = 13 * 3
(a + b + 7) = 39
Now, we need to find the average of a + 3, b - 5, and 6. Let's call it X.
To find X, we'll sum up the values and divide by the number of values:
(a + 3 + b - 5 + 6) / 3 = X
Simplifying this equation, we get:
(a + b + 4) / 3 = X
Now, we can substitute the value we found for (a + b + 7):
(39 + 4) / 3 = X
43 / 3 = X
Dividing 43 by 3, we get the average:
X = 14.33
Therefore, the average of a + 3, b - 5, and 6 is approximately 14.33.