ABC26GN2917 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

If $(2 x+3 y):(3 x+5 y)=18: 29$, what is the value of $x: y$? (B.Ed Entrance, 2010)

Answer

Answer (as printed):

Explanation

$\frac{2x+3y}{3x+5y} = \frac{18}{29} \Rightarrow 29(2x+3y) = 18(3x+5y) \Rightarrow 58x+87y = 54x+90y \Rightarrow 4x = 3y \Rightarrow \frac{x}{y} = \frac{3}{4}$. Hence, $x:y = 3:4$.

Explanation as extracted from the printed page; notation may be imperfect.

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