SOLUTION: How do I find the missing number for the average. The average of these numbers 24,57,__,39,19,46 is 36. Find the missing number.

Algebra ->  Average -> SOLUTION: How do I find the missing number for the average. The average of these numbers 24,57,__,39,19,46 is 36. Find the missing number.      Log On


   

Question 892512: How do I find the missing number for the average.
The average of these numbers
24,57,__,39,19,46
is 36. Find the missing number.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The average of these numbers
24,57,__,39,19,46
is 36.
Find the missing number.
Let the missing number be x.

Count the numbers, there are 6 of them.

%2824%2B57%2Bx%2B39%2B19%2B46%29%2F6%22%22=%22%2236

Simplify by adding the given numbers:

%28185%2Bx%29%2F6%22%22=%22%2236

Multiply both sides by 6

185%2Bx%22%22=%22%22216

Subtract 185 from both sides:

x%22%22=%22%2231

The missing number is 31.

Edwin