The average of four numbers is 80.If first three numbers are 80, 90 and 100, find the fourth number.
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The average of four numbers is 80.If first three numbers are 80, 90 and 100, find the fourth number.
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The fourth number is 50.
Given - Average and three numbers
Find - Fourth number
Solution - Let the fourth number be x. Now, as we know, the formula of average is -
Average = sum of all observations/total number of observations
We will be adding up the three numbers with x and keep the values in formula.
Sum = 80 + 90 + 100 + x
Sum = 270 + x
80 = (270 + x)/4
270 + x = 80*4
Performing multiplication on Right Hand Side
270 + x = 320
x = 320 - 270
Performing subtraction on Right Hand Side
x = 50
Hence, the fourth number is 50.
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