Question

The numerator of a rational number iss maller than it's denominator by 4.If the numerator is increased by 3 and denominator is decreased by 5,the number becomes 2.Find the rational number. <br />​

Answer 1

Answer:

The answer is 5/9

Step-by-step explanation:

Let the numerator be x

Then, let the denominator be (x+4)-5 as per the question and so the numerator becomes x+3

x+3 / x+4-5 = 2

= x+3 = 2(x-1). [By cross multiplication]

= x+3 = 2x-2

= 3+2= 2x-x

= 5 =x

So as the numerator is x , so the value of numerator is 5 and denominator x+4 = 9

You can also verify the answer by putting the value! Hope this helps!

Answer 2

Answer:

5/9

Step-by-step explanation:

Let numerator be x and denominator be x+4.

$(x+3)/(x+4-5) = 2/1$

Cross multiplying, we get

$\\1(x+3) = 2(x+4-5)\\x+3 = 2(x-1)\\x+3 = 2x-2\\2x-x = 3+2\\x = 5$

Therefore, the rational number is,

x/(x+4) = 5/9

Hope this helps!

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