Question

Find the fraction which becomes 1/2 when the denominator is increased by 4 and is equal to 1/8 when the numerator is diminished by 5.​

Answer 1

Answer:

hope it is correct! !!!!!!!!!!!

Answer 2

Answer:

6/8

Step-by-step explanation:

Let the fraction be x/y.

Then according to the given conditions, we have

x/ (y + 4) = ½

2x = y + 4

2x – y = 4 … (i)

And,

(x – 5)/ y = 1/8

8 (x – 5) = y

8x – 40 = y

8x – y = 40 … (ii)

Now, subtracting (i) from (ii) we get

8x – y = 40

2x – y = 4

(-)–(+)—(-)—

6x = 36

x = 36/6

x = 6

On substituting the value of x in (i), we get

2(6) – y = 4

12 – y = 4

y = 12 – 4 = 8

Therefore, the fraction is 6/8.