Question

If 1 is added to number of fraction it become 1/5 and if 1 i subtracted form denominator it become 1/7 find fraceion.​

Answer 1

Step-by-step explanation:

Let the fraction be yx

Then according to the given conditions, we have

  yx+1=51

⇒5(x+1)=y

⇒5x+5=y

⇒5x−y=−5     … (i)

And,

  y−1x=71

⇒7x=y−1

⇒7x−y=−1     … (ii)

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

  (7x−y)−(x−y)=−1−(−5)

⇒2x=4

⇒x=2

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

  5(2)−y=−5

⇒10−y=−5

⇒y=10+5

⇒y=15

Therefore, the fraction is 152.