Question

The denomimotor of a fraction is 1 more than twice its nurnerator. If the numerator &
denominator are both increased by 5, it becomes 3/5. Find the original fraction.​

Answer 1

Answer:

let the numerator be x and denominator be y

equation becomes 2x+1=y

x+5/y+5=3/5

x+5/2x+1+5=3/5

x+5/2x+6=3/5

5x+25=6x+18

5x-6x=18-25

-x=-7

x=7 is the numerator

denominator = 2x+1 = 2x7+1=15

fraction is 7/15

Answer 2

Answer:

let the numerator be x so the original fraction is x/2x+1

A/q. x+5/2x+1+5=3/5

solving equation 5x+25=6x+18

we get the value of x=7

on putting in original fraction we get the fraction as 7/15