The average of 4 number is 30. If three number sum is 85 . what is the fourth number?
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2
Step-by-step explanation:
a + b + c + d) /4= 30
sum of all four numbers would be 30 * 4 = 120
sum of first three numbers is 85
so 85 + d = 120
d = 120 - 83
d = 35
Answered by
2
Average of four numbers = 30
Sum of the first three numbers = 85
Let the fourth number be .
Now, all the four numbers include the three numbers (whose sum is 85) and the fourth number .
So, sum of four numbers =
Now, we know that sum of all observations divided by the number of observations is the average of the given data.
Now,
Sum of all four numbers
-------------------------------- = Average
4
⇒
Multiplying both sides of the equation by 4.
⇒
Subtracting 85 from both sides.
⇒
∴ The fourth number is 35.
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