Two positive whole numbers are in a ratio of 3 to 4. If the smaller of the two numbers is 9, what is the average of the two numbers?
9 to 12. 9+12=21 21/2=10.5
To find the average of two numbers, you need to add them together and then divide the sum by 2.
In this problem, let's assume the smaller number is x and the larger number is y.
Given that the smaller number is 9, we have x = 9.
We are also given that the ratio between the two numbers is 3 to 4, which means that x/y = 3/4.
To find the value of y, we can cross multiply: 4x = 3y.
Since we already know that x = 9, we can substitute it into the equation: 4(9) = 3y.
Simplifying this equation, we get 36 = 3y, and dividing each side by 3 gives y = 12.
Now we have both x = 9 and y = 12.
To find the average of these two numbers, we add them together: 9 + 12 = 21.
Then, divide the sum by 2: 21 / 2 = 10.5.
Therefore, the average of the two numbers is 10.5.