If 2 p+3 q=18 and 2 p-q=2, then 2 p+q= ? · ABC26GN1049

Subject: General Aptitude · Chapter: Simplification

If $2 p+3 q=18$ and $2 p-q=2$, then $2 p+q=$ ?

(a)6

(b)7

(c)10

(d)20

Answer

Answer (as printed): C

Explanation

$$\begin{aligned} (2 p+3 q)+(2 p-q)=18+2 & \Rightarrow 4 p+2 q=20 \\ & \Rightarrow 2(2 p+q)=20 \Rightarrow 2 p+q=10 . \end{aligned}$$

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

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