Question

A fraction becomes half if 5 is subtracted from its numerator and 3 is subtracted from its
denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.​

Answer 1

Answer:

x=5/3

Step-by-step explanation:

x-5/2x-3=1/2

1x/2x=3/10

x=3/2/10

=10/3×2

x=5/3

Answer 2

Answer:

Let the numerator of this fraction = x

then, denominator of this fraction = x + 5

then, fraction = x / x + 5

According to question,

=> (x - 5) / (x + 5 - 3) = 1 / 2

=> 2x - 10 = x + 2 (by cross multiplication)

=> 2x - x = 2 + 10

=> x = 12

hence, the fraction will become = 12 / 12 + 5 = 12/17.

hope it will help you