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Fred picked four numbers out of a hat. The average of the four numbers is 9. If three of the
numbers are 5, 9 and 12, then what is the fourth number?
Solution
Let the four numbers be:
5, 9, 12, and x
Given the average of the four number is 9.
We know that the average:
Av. = (sum of all numbers)/ total number of numbers
==> 9 = (5+9+12+x)/4
==> 9 = (26+ x)/4
Multiply by 4:
==> 36 = 26 + x
==> x= 36- 26= 10
==> the fourth number = 10

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  • 1. Fred picked four numbers out of a hat. The average of the four numbers is 9. If three of the numbers are 5, 9 and 12, then what is the fourth number? Solution Let the four numbers be: 5, 9, 12, and x Given the average of the four number is 9. We know that the average: Av. = (sum of all numbers)/ total number of numbers ==> 9 = (5+9+12+x)/4 ==> 9 = (26+ x)/4 Multiply by 4: ==> 36 = 26 + x ==> x= 36- 26= 10 ==> the fourth number = 10