Question

The denominator of a rational no. is greater than its numerator by 3, if 3 is subtracted from the numerator and 2
is added to the denominator the new no.
becomes 1/5. What is the origiral no.​

Answer 1

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Answer 2

Let the denominator be x and numerator be y.

Rational no.=y/x

Acc.to ques.

x=y+3

Again,given

y-3/x+2=1/5

or,y-3/y+3+2=1/5

or,y-3/y+5=1/5

or,5y-15=y+5

or,5y-y=5+15

or,4y=20

or,y=20/4=5

Now,x=y+3(we have considered it)

=5+3=8

Hence,original no.=5/8