The average of 5 numbers.is 9.Sum of
5 numbers is
Answers
Answer:
The answer is 45
Step-by-step explanation:
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Answer:
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The average of 5 numbers is 9 and the average of the last three numbers is 5. What is the average of the first two numbers?
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Udit Gautam
Answered January 28, 2020
Let the five nos. be a, b, c, d and e.
Given,
(a+b+c+d+e)/5=9
So,
=>a+b+c+d+e=5×9=45
Also given,
(c+d+e)/3=5
So,
=>c+d+e=5×3=15
So,
=>a+b+15=45
=>a+b=45–15=30
Now,
=(a+b)/2
=30/2
=15
Hence, the average of first two numbers is 15
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Average of 5 numbers is 9
Aveage of the numbers = Total Sum of the numbers ÷ Number of Numbers
Therefore, the total sum of 5 numbers is 5*9 = 45
It is also given that,
The average of last 3 numbers is 5
Which implies that the total sum of last 3 numbers is 3*5 = 15
As the total sum of 5 numbers is 45 and that of the total sum of the last 3 numbers is 15, the total sum of the first 2 numbers is 45–15 = 30
Hence, the average of first 2 numbers is
Total Sum of the numbers ÷ Number of Numbers
= 30÷2
= 15