The average of x,x+5,x+6,x?7, and x?9 is 3. Find the sum of the largest and...

MATHEMATICS
SAT 2021

The average of x,x+5,x+6,x?7, and x?9 is 3. Find the sum of the largest and smallest numbers for this set of numbers.

  • A. ?5
  • B. 7
  • C. 20
  • D. 5

Correct Answer: D. 5

Explanation

Recall how to find the mean: Mean Or Average=Sum of all values/Number of values 3=x+(x+5)+(x+6)+(x?7)+(x?9)/5 5x?5=15 5x=20 x=4 The smallest number in this set is x?9, which is ?5. The largest number is x+6, which is 10. The sum of these two numbers is then given by the following: ?5+10=5



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