Math, asked by gungun2624, 10 months ago

if x:y= 3:2,( 4x-2y):(x+y)???​

Answers

Answered by rishu6845
3

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Answered by syed2020ashaels
0

The given question is if x:y= 3:2,( 4x-2y):(x+y)???

In the question, the ratio is given as x:y = 3:2

The ratio of two numbers is defined as the number of times one number contains another number.

This ratio can also be written as

 \frac{x}{y}  =  \frac{3}{2}

we have to find the value of

the \: ratio \:  of \:  (4x - 2y) \: and \: (x + y)

It is given that x:y = 3:2.

let us assume the value of x and y as x= 3k and y = 2k.

k is a nonzero constant value.

The term given in the question

(4x - 2y):(x + y)

can be written in the form of the division as

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

let us substitute the value of x and y in the above expression, we get

 \frac{4(3k) - 2(2k)}{(3k + 2k)}  \\  =  \frac{12k - 4k}{5k}  \\  =  \frac{8k}{5k}  =  \frac{8}{5}

Therefore the final value is

 \frac{8}{5}

Therefore, the final answer is the ratio of (4x -2y):(x+y)

is 8:5.

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