If 5 a+3 b: 2 a-3 b=23: 5, then the value of a: b is · ABC26GN3009
Subject: General Aptitude · Chapter: Ratio and Proportion
If $5 a+3 b: 2 a-3 b=23: 5$, then the value of $a: b$ is
(a)1 : 2
(b)1 : 4
(c)2 : 1
(d)4 : 1
Answer
Explanation
$$\begin{aligned} & \frac{5 a+3 b}{2 a-3 b}=\frac{23}{5} \Rightarrow 5(5 a+3 b)=23(2 a-3 b) \\ & \Rightarrow 25 a+15 b=46 a-69 b \Rightarrow 21 a=84 b \Rightarrow \frac{a}{b}=4 \end{aligned}$$ Hence, $a: b=4: 1$.
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Ratio and Proportion
· Browse this chapter in the app