ABC26GN0896 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2008 · Marks: · Difficulty:

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.

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