Question

In a Fraction, the denominator exceeds the numerator by 2. if from the numerator 4 is subtracted or if in the denominator 12 is added, the fraction obtained in the both the cases is same.find this Fraction.​

Answer 1

Answer:

Solution:

Suppose the numerator be x

& Denominator be ( x+2)

✧According to the Question,

the fraction be x/x+2

✧When the numerator decreased by 4

we have,

⟹ x-4/x+2 ..........(i)

✧When the denominator increased by 12

⟹ x/x+2+12

⟹ x/x+14 .........(ii)

According to the Question to the Solve:

$\frac{x - 4}{x + 2} = \frac{x}{x + 14}$

$(x - 4)(x + 14) = x(x + 2)$

${x}^{2} + 10x - 56 = {x}^{2} + 2x$

$10x - 2x = 56$

$8x = 56$

$x = 7$

So,

the Fraction will be x /x+2

⟹ 7/7+2

⟹7/9

Answer 2

Answer:

Step-by-step explanation:

let the denominator be x

then by 1st condition:

numerator = x

denominator = x+2

fraction=x/x+2

now by 2nd condition:

x-4/x+2=x/x+14

now solve this find the x and then substitute the values you'll surly get the answer

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