Question

If the numerator of a fraction is increased by 2 and the denominator by 1, if becomes

equal to 1 and if the numerator is decreased by 4 and the denominator by 2, it becomes

equal to ½. Find the fraction.
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Answer 1

Answer:

Answer in explanation. Please mark me as brainliast. Hope it helps.

Step-by-step explanation:

Let the fraction be

y

x

Then according to the given conditions, we have

(y+1)

(x+2

=

8

5

⇒8(x+2)=5(y+1)

⇒8x+16=5y+5

⇒8x−5y=5−16

⇒8x−5y=−11 … (i)

And,

(y−1)

(x−1)

=

2

1

⇒2(x−1)=(y−1)

⇒2x−2=y−1

⇒2x−y=1 … (ii)

Now, performing eq. (i) - 4 x eq. (ii) we get

(8x−5y)−(8x−4y)=−11−4

⇒−y=−15

⇒y=15

On substituting the value of y in eq. (ii), we get

2x−15=1

⇒2x=1+15

⇒x=

2

16

=8

Therefore, the fraction is

15

8

Please mark me as brainliast answer. Hope it helps.