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goldenfox [79]
3 years ago
13

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20. The fifth n

umber is
A. a - 4
B. a + 4
C. 4a + 4
D. 4a + 16
E. 9a + 36
Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

9a+36

Step-by-step explanation:

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20.

The average (arithmetic mean) of four numbers is 4a + 16.

Sum of 4 numbers = 4 times the average

Sum of 4 numbers =4(4a+16)= 16a+64

sum  of 5 numbers = 5 times the average of 5 numbers

Sum of 5 numbers =5(5a+20)=25a+100

fifth number = sum of 5 numbers minus the sum of 4 numbers

fifth \ number = 25a+100-(16a+64)

25a+100-16a-64

9a+36

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