Question

if 1 is added to the number of a fraction it become 1/5.if 1 is taken from the denominator it becomes 1/7.find the fraction​

Answer 1

Answer:

Let the fraction be

y/x

Then according to the given conditions, we have

y/x+1

=

5/1

⇒5(x+1)=y

⇒5x+5=y

⇒5x−y=−5 … (i)

And,

y−1/x

=

7/1

⇒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

15/2

Step-by-step explanation:

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