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If 2x – 4Y = x + 3Y , find the value of\(\frac{{2x + 4Y}}{{2x - 4Y}}\)1). 9/52). 3/73). 16/94). 10/3

Answer»

given that,

2x – 4Y = x + 3y

⇒ 2x – x = 3Y + 4Y

⇒ x = 7Y

$(\Rightarrow \;\FRAC{x}{y} = \;\frac{7}{1})$

$(\Rightarrow \;\frac{{2x}}{{4y}} = \;\frac{{2 \times 7}}{{4 \times 1}})$(MULTIPLYING both SIDES by 2 and dividing both sides by 4)

$(\Rightarrow \;\frac{{2x}}{{4y}} = \frac{{14}}{4})$

$(\Rightarrow \;\frac{{2x + 4y}}{{2x - 4y}} = \;\frac{{14 + 4}}{{14 - 4}})$(by componendo-dividendo)

$(\Rightarrow \;\frac{{2x + 4y}}{{2x - 4Y}} = {\RM{\;}}\frac{{18}}{{10}} = \;\frac{9}{5})$


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