The average of x₁, x₂, x₃ and x₄ is 16. Half the sum of x₂, x₃, x₄ is 23. What is the value of x₁ ? · ABC26GN1547
Subject: General Aptitude · Chapter: Average · Exam: R.R.B. 2006
The average of $x_{1}, x_{2}, x_{3}$ and $x_{4}$ is 16. Half the sum of $x_{2}, x_{3}, x_{4}$ is 23. What is the value of $x_{1}$ ?
Answer
Explanation
$x_{1}+x_{2}+x_{3}+x_{4}=16 \times 4=64$. $\frac{1}{2}\left(x_{2}+x_{3}+x_{4}\right)=23 \Rightarrow x_{2}+x_{3}+x_{4}=46$. $$\therefore x_{1}=64-46=18 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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