Question

the denominator of a fraction is 6 more than the numerator . If one is added to the numerator and 3 is subtracted from the denominator it becomes 3/4 , find the fraction.

Answer 1

Answer:

hope this will help you

Answer 2

✯✯ QUESTION ✯✯

The denominator of a fraction is 6 more than the numerator . If one is added to the numerator and 3 is subtracted from the denominator it becomes 3/4 , find the fraction.

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\implies\tt{Let\:the\:denominator\:be=x}$

➮As Given that Denominator of fraction is 6 more than Nummerator ..So ,

$\implies\tt{Denominator=x+6}$

➥A.T.Q : -

If one is added to the numerator and 3 is subtracted from the denominator it becomes 3/4..So ,

$\implies\tt{Numerator\:becomes=x+1}$

$\implies\tt{Denominator\:becomes=x+6-3}$

➥Now ,

$\implies\tt{\dfrac{x+1}{x+6-3}=\dfrac{3}{4}}$

$\implies\tt{4(x+1)=3(x+6-3)}$

$\implies\tt{4x+4=3x+18-9}$

$\implies\tt{4x-3x=18-9-4}$

$\implies\tt{1x=5}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{x}\orange{=}\purple{5}}}$

_______________________

$\implies\tt{Numerator=x}$

$\implies\tt\bold{5}$

$\implies\tt{Denominator=x+6}$

$\implies\tt\bold{11}$

☛So , The new fraction is 5/11...