Question

in a fraction the numerator is 4 more than the denominator if 5 is added to the numerator the denominator the new fraction is 4/3 find the original fraction

Answer 1

Let the fraction be x/y

Given,

fraction = y+4/y

Now, y +4+5/y+5 = 4/3
=> y+9/y+5 = 4/3
=> 3(y+9) = 4(y+5)
=> 3y + 27= 4y + 20
=> y = 7

thus, the original fraction is
11/7

Answer 2

Answer:

Let: The Numerator of original fraction be '$x$'

      The Denominator of original fraction = $x$ + 4

= $x$ + 5/($x$ + 4) + 5

= $x$ + 5/$x$ + 9 = 3/4

= 4 ($x$ + 5) = 3 ($x$ + 9)

= 4 ($x$ + 20) = 3$x$ + 27

= 4$x$ - 3$x$ = 27 - 20

= 1$x$ = 7

= $x$ = 7/1 = 7

= $x$ = 7

∴ Numerator of original fraction = 7

Denominator of original fraction = $x$ + 4

                                                      = 7 + 4

                                                      = 11

∴ The fraction is 7/11