The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1?
A. 12
B. 16
C. 20
D. 27
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {{\text{X}}_1} + {{\text{X}}_2} + {{\text{X}}_3} \cr & = \left( {14 \times 3} \right) \cr & = 42 \cr} $$According to the question,
$$\eqalign{ & 2\left( {{{\text{X}}_2} + {{\text{X}}_3}} \right) = 30 \cr & \Rightarrow {{\text{X}}_2} + {{\text{X}}_3} = 15 \cr & \therefore {{\text{X}}_1} = \left( {42 - 15} \right) = 27 \cr} $$
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