The average of X1, x2, x3, x4 is 16. Half the sum of X2, x3, x4 is 23. What is the value x1?
- 18
- 19
- 17
- None
Explanation
Given:
(x1 + x2 + x3 + x4) / 4 = 16
Multiply both sides by 4:
x1 + x2 + x3 + x4 = 64 ... (Equation 1)
Also, (x2 + x3 + x4) / 2 = 23
Multiply both sides by 2:
x2 + x3 + x4 = 46 ... (Equation 2)
Now, substitute Equation 2 into Equation 1: x1 + 46 = 64
Subtract 46 from both sides: x1 = 18
Therefore, the correct answer is: 18
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- 20
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- 3
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- None of these
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