The average of X₁, X₂ and X₃ is 14. Twice the sum of X₂ and X₃ is 30. What is the value of X₁ ? · ABC26GN1546

Subject: General Aptitude · Chapter: Average

The average of $X_{1}, X_{2}$ and $X_{3}$ is 14. Twice the sum of $X_{2}$ and $X_{3}$ is 30. What is the value of $X_{1}$ ?

(a)12

(b)16

(c)20

(d)27

Answer

Answer (as printed): D

Explanation

$X_{1}+X_{2}+X_{3}=(14 \times 3)=42$. $2\left(X_{2}+X_{3}\right)=30 \Rightarrow X_{2}+X_{3}=15$. $$\therefore \quad X_{1}=(42-15)=27 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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