If (2 a+b)/(a+4 b)=3, then find the value of (a+b)/(a+2 b). · ABC26GN0991
Subject: General Aptitude · Chapter: Simplification
If $\frac{2 a+b}{a+4 b}=3$, then find the value of $\frac{a+b}{a+2 b}$.
(a)$\frac{2}{7}$
(b)$\frac{5}{9}$
(c)$\frac{10}{7}$
(d)$\frac{10}{9}$
Answer
Explanation
$\frac{2 a+b}{a+4 b}=3 \Rightarrow 2 a+b=3(a+4 b) \Rightarrow a=-11 b$. $$\frac{a+b}{a+2 b}=\frac{-11 b+b}{-11 b+2 b}=\frac{-10 b}{-9 b}=\frac{10}{9} .$$
Explanation as extracted from the printed page; notation may be imperfect.
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