Question

Question:
The denominator of a rational number is greater than its numerator by 6.
If the numerator is increased by 5 and the denominator is decreased by 3, the number obtained is 5/4 . Find the rational number .​

Answer 1

Answer:

let numerator = x

denominator = y

Step-by-step explanation:

according to the problem lets substitute the value

x+6=y ----------(1)

x+5 / y-3  ==5/4 ---------------(2)

substuting value of y in (2)

x+5 / x+6-3 ==5/4

x+5/x+3  == 5/4

cross multiplying we get,

4x+20 = 5x+15 bringing like terms to one side we get,

5 = x ------------- (3)

substituting value of 3 in 1 we get

5 + 6 = y

y = 11

this tells us that the fraction is ,

5/11

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Answer 2

I hope the above picture helps you

Let the numerator be x

So,

X + 5 / x + 6 - 3 = 5/4

X + 5 / x + 3 = 5/4

4( x + 5) = 5( x + 3)

4x + 20 = 5x + 15

4x - 5x = 15 - 20

-x = - 5

X = 5

So,

the original rational number is :-

5 / (5 + 6)

= 5/11