Question

The denominator of a fraction is greater than its numerator by 8. If one is added to the numerator and 4 is subtracted from the denominator, the fraction becomes 4/7 find the original fraction​

Answer 1

Let us assume thenumerator to be =x

Let us assume thedenominator to be =y

• Hence the fractionbecomes=x/y

• Accordingtothe given condition

(x−1)/y=1/3

⇒y=3x−3 ———-(i)

• Accordingtothesecond givencondition,

x/(y+8)=1/4

⇒y+8=4x

⇒y=4x−8 ————(ii)

• Combining(i)and(ii) we get,

3x−3=4x−8

⇒3x−4x=−8+3

−x=−5

⇒x=5

• from(i)

y=15−3=12

So,the fraction is =5/12

Answer 2

Answer:

3 / 11

Step-by-step explanation:

Let the numerator be x. Then, denominator = x + 8.

A.T.Q.

$\frac{x + 1}{x + 8 - 4} = \frac{4}{7} \\ 7(x + 1) = 4(x + 4) \\ 7x + 7 = 4x + 16 \\ 3x = 9 \\ x = 3 \\ so \: fraction \: is \: \frac{3}{11}$

Hope it helps.