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mariamorales816 mariamorales816
  • 24-01-2017
  • Mathematics
Answered

Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number?

Verified Answer :

LammettHash
LammettHash LammettHash
  • 24-01-2017

Let \(x_1,\ldots,x_4\) be the four numbers. Their average is 8, so

\(\dfrac{x_1+x_2+x_3+x_4}4=8\)

You know that three of the numbers have a sum of 22, so

\(\dfrac{22+x_4}4=8\)

Solve for \(x_4\):

\(\dfrac{22+x_4}4=8\implies22+x_4=32\implies x_4=10\)

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