The value of x in the equation (113 × 4-x × 2)/(13 × 9-5 × 7)=5 is · ABC26GN0896

Subject: General Aptitude · Chapter: Simplification · Exam: P.C.S. 2008

The value of $x$ in the equation $\frac{113 \times 4-x \times 2}{13 \times 9-5 \times 7}=5$ is
(a)21
(b)27
(c)35
(d)42
Answer
Answer (as printed): A
Explanation
$\frac{113 \times 4-x \times 2}{13 \times 9-5 \times 7}=5 \Leftrightarrow \frac{452-2 x}{117-35}=5 \Leftrightarrow \frac{452-2 x}{82}=5$ $$\begin{aligned} & \Leftrightarrow 452-2 x=410 \\ & \Leftrightarrow 2 x=452-410=42 \Leftrightarrow x=21 . \end{aligned}$$

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

Study loop for Simplification

1. Practise the PYQsPrevious-year questions, with answers

· Browse this chapter in the app