Question

the denominator of a fraction is 1 less than twice its numerator. if 3 is added to the numerator and 4 is added to the denominator the fraction becomes 3/5. find the fraction.​

Answer 1

Answer

let numerator to be = x

then denominator will be = 2x-1

fraction will be = x/2x-1

When we add 3 in numerator and 4 in denominator it becomes = x+3/2x-1+4

then it is =

=. x+3/2x+3=3/5

by cross multiplication

=. 5x+15 = 6x+9

=. -x = -6

=. x = 6

now putting the value

x/2x-1 = 6/2×6-1

=. 6/11

So the fraction is 6/11

I hope this will help you

Thanks