Question

if (5x + 2y) : (7x + 4y) = 13 : 20, find x : y.​

Answer 1

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Answer 2

Answer:

The required answer is: $8:9.$

Step-by-step explanation:

Given ration is: $(5x+2y):(7x+4y)=13:20.$

Now we solving the given ration to find the required ratio of $x:y.$

We get,

$(5x+2y):(7x+4y)=13:20\\= > \frac{5x+2y}{7x+4y}=\frac{13}{20}\\= > 20(5x+2y)=13(7x+4y)\\ = > 100x+40y=91x+52y\\= > 100x-91x=52y-40y\\= > 9x=8y\\= > \frac{x}{y} =\frac{8}{9}\\= > x:y=8:9.$

The required ratio is: $8:9.$