ABC26GN0992 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
If $(2 a+3 b)(2 c-3 d)=(2 a-3 b)(2 c+3 d)$, then
(a)$\frac{a}{b}=\frac{c}{d}$
(b)$\frac{a}{d}=\frac{c}{b}$
(c)$\frac{a}{b}=\frac{d}{c}$
(d)$\frac{b}{a}=\frac{c}{d}$
Answer
Explanation
$(2 a+3 b)(2 c-3 d)=(2 a-3 b)(2 c+3 d)$ $$\begin{aligned} & \Rightarrow \frac{(2 a+3 b)}{(2 a-3 b)}=\frac{(2 c+3 d)}{(2 c-3 d)} \\ & \Rightarrow \frac{2\left(\frac{a}{b}\right)+3}{2\left(\frac{a}{b}\right)-3}=\frac{2\left(\frac{c}{d}\right)+3}{2\left(\frac{c}{d}\right)-3} \Rightarrow \frac{a}{b}=\frac{c}{d} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
Open in whiteboard · Browse this chapter in the app