Question

the denominator of a fraction is 1 more then twice its numerator. if the numerator and denominator are both increased by 5, it becomes 3/5 . find the original fraction
​
Plz Don't Spam X

Answer 1

$\huge\bold\red{გuestion}\huge\bold\pink{⥅}$

the denominator of a fraction is 1 more then twice its numerator. if the numerator and denominator are both increased by 5, it becomes 3/5 . find the original fraction.

$\huge\bold\purple{Δn᥉wꫀr}↓$

$\bold{let \: numerator \: be \: ❝x❞}$

Then denominator will be 1 + 2x

⠀⠀⠀

$\bold{when \: both \: used \: by \: 5}$

$\huge \bold{\frac{x + 5}{5 + 1 + 2x} } = \bold{ \frac{3}{5} }$

$\huge \bold{ \frac{x + 5}{6 + 2x} = \frac{3}{5} }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀5x + 25 = 18 + 6x

⠀⠀⠀⠀⠀⠀⠀⠀⠀26 - 18 = 6x - 5x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀7 = x

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯❅❆❀✿❀❆❅⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯