Question

x:y=3:4,find (4x +5y ):(5x -2y)

Answer 1

Answer:

Ratio of (4x+5y):(5x-2y)=16:7

Step-by-step explanation:

Given x:y = 3:4

$\frac{x}{y} =\frac{3}{4}$ ---(1)

Now,

$\frac{4x+5y}{5x-2y}$

/* Divide numerator and denominator by y , we get,

=$\frac{\frac{4x+5y}{y}}{\frac{5x-2y}{y}}$

=$\frac{\frac{4x}{y}+\frac{5y}{y}}{\frac{5x}{y}-\frac{2y}{y}}$

=$\frac{4\times \frac{x}{y}+1}{5\times\frac{x}{y}-2}$

=$\frac{4\times \frac{3}{4}+1}{5\times \frac{3}{4}-2}$

/*From (1)*/

==$\frac{\frac{12+4}{4}}{\frac{15-8}{4}}$

= $\frac{16}{7}$

Therefore,

$\frac{4x+5y}{5x-2y}$

=$\frac{16}{7}$

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Answer 2

Answer:

32/7

Step-by-step explanation:

X/Y=3/4,

Then x=3 and y=4,

Then 4x+5y=32 and 5x+2y=7,

The answer is 32/7.