The average of 3 numbers is 26. Two of the numbers are 11 & 21. What is the third number? Show steps.
To find the third number, let's first find the sum of the three numbers. We know that the average of the three numbers is 26, so the sum of the three numbers is 26 multiplied by 3, which is 78.
Let's call the third number x. The sum of the three numbers is 11 + 21 + x, which is equal to 78.
So, we have the equation:
11 + 21 + x = 78
Simplifying this equation, we get:
32 + x = 78
Now, to isolate x, we subtract 32 from both sides of the equation:
x = 78 - 32
x = 46
Therefore, the third number is 46.