The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1?
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UPSC Civil Services preparation
- A20
- B27Correct
- C16
- D12
Explanation
To find the value of X1, we can use the information provided in two simple steps.
First, the average of X1, X2, and X3 is 14. This means the total sum of these three numbers is 14 multiplied by 3, which equals 42.
Second, we are told that twice the sum of X2 and X3 is 30. By dividing 30 by 2, we find that the sum of X2 and X3 is 15.
Finally, to find X1, we subtract the sum of X2 and X3 from the total sum of all three numbers. Subtracting 15 from 42 gives us 27.
Therefore, the value of X1 is 27, which corresponds to option B.
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