Question

In a rational number, denominator is
5more than the numerotor. If 2 is added
to the numerator and 2 is
subtracted from the denominator the
rational number becomes 5/6 find the
fraction.​

Answer 1

Step-by-step explanation:

let

numerator be X and

denominator as Y

now rational number will be X/Y

X+2/X+5-2=5/6--------(BY CROSS MULTIPLECTION)

6(X+2)=5(Y+3)

6X+12=5Y+15

6X-5Y=15-12

X+Y=3

Answer 2

Step-by-step explanation:

Suppose that,

Numerator = x

Denominator = x + 5

According to the question

x+5/x +5 -2 = 5/6

x+5/x+3 = 5/6

6(x+5) = 5(x+3)

6x+30 = 5x+15

6x-5x = 15 - 30

x = -15

Therefore, Rational number = Numerator/ Denominator

= -15/-15+5

= -15/-10

= 2/3

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