Three out of four numbers have a sum of 30. If the average of the four numbers is 12, what is the fourth number?
- A. 14
- B. 16
- C. 18
- D. 20
Answer: C. 18
Let’s denote the four numbers as a, b, c, and d.
We are given that three of the numbers have a sum of 30:
a+b+c = 30
And we are also given that the average of the four numbers is 12:
(a+b+c+d)/4 = 12
=> a+b+c+d = 48
Now, substituting a+b+c=30 into this equation gives us:
30+d = 48
Subtracting 30 from both sides gives us:
d = 48−30
d = 18
So, the fourth number is d = 18.