Question 24

If (x + y) : (x - y) = 11 : 1, then $$\frac{5x + 3y}{x - 2y}=$$

$$\frac{x+y}{x-y}=\frac{11}{1}$$
x+y = 11x-11y ==> 10x = 12y ==> 5x = 6y OR x = 6y/5.
We substitute this value in the given expression to get:
$$\frac{6y+3y}{\frac{6y}{5}-2y}=\frac{9y}{-\frac{4y}{5}}=-\frac{45}{4}$$.

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