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The average of 36 numbers is 50. If we subtract a number 'T' from each number, then the average becomes 27. What is the value of T?
Question

The average of 36 numbers is 50. If we subtract a number 'T' from each number, then the average becomes 27. What is the value of T?

A.

23

B.

27

C.

24

D.

22

Correct option is A

Given:
The average of 36 numbers is initially 50.
After subtracting a number TTfrom each of these 36 numbers, the average becomes 27.
Concept Used:
When a constant TTx is subtracted from each number in a dataset, the new average is reduced by TTx as well.
Formula Used:
New Average=Original Average−T\text{New Average} = \text{Original Average} - TNew Average=Original Averagex
Solution:
27 = 50 - x 
x = 23
Thus, correct option is (a).

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