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The value of x in the equation $$\frac{{113 \times 4 - x \times 2}}{{13 \times 9 - 5 \times 7}}{\text{ = 5}}$$     is?

A. 21

B. 27

C. 35

D. 42

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \frac{{113 \times 4 - x \times 2}}{{13 \times 9 - 5 \times 7}} = 5 \cr & \Rightarrow \frac{{452 - 2x}}{{117 - 35}} = 5 \cr & \Rightarrow \frac{{452 - 2x}}{{82}} = 5 \cr & \Rightarrow 452 - 2x = 410 \cr & \Rightarrow 2x = 452 - 410 = 42 \cr & \Rightarrow x = 21 \cr} $$

This Question Belongs to Arithmetic Ability >> Simplification

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