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The average of 7 numbers is 50.When a new number is taken into consideration, the new average is 45.Then what is the new number?
Most Upvoted Answer
The average of 7 numbers is 50.When a new number is taken into conside...
The sum of the 7 number would be 350. let's assume the new number to be x then the new sum would be 360+x. hence the new number would be 10.
Community Answer
The average of 7 numbers is 50.When a new number is taken into conside...
Given Information:
- Average of 7 numbers = 50
- New average after including a new number = 45

Finding the New Number:
To find the new number that was added, we can use the concept of averages. The average of a set of numbers is equal to the sum of all the numbers divided by the total number of values.
Let's denote the sum of the 7 original numbers as S and the new number as X.

Calculating the sum of the original 7 numbers:
- Average of 7 numbers = 50
- Sum of 7 numbers = 7 * 50 = 350 (since average = sum of numbers / total numbers)

Calculating the sum of all 8 numbers:
- New average after adding the new number = 45
- Sum of 8 numbers = 8 * 45 = 360

Finding the new number X:
- Sum of 7 original numbers (S) + X = Sum of all 8 numbers (360)
- 350 + X = 360
- X = 360 - 350
- X = 10
Therefore, the new number that was added is 10.
Therefore, the new number that was added to the set of 7 original numbers to get an average of 45 is 10.
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The average of 7 numbers is 50.When a new number is taken into consideration, the new average is 45.Then what is the new number?
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