The average of X1, x2, x3, x4 is 16. Half the sum of X2, x3, x4 is 23. What is the value x1?

The average of X1, x2, x3, x4 is 16. Half the sum of X2, x3, x4 is 23. What is the value x1?

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