Question

a fraction is such that the sum of its numerator nd denominator is 15 . if 8 is added to numerator and 12 is added to the denominator , the fraction become 3/4 . find the original fraction.​

Answer 1

Answer:

7/8

Step-by-step explanation:

x/y,x+y=15.......1

x+8/y+12=3/4

4(x+8)=3 (y+12)

4x+32=3y+36

4x=3y+36-32

4x=3y+4

from 1,x=15-y

hence,4 (15-y)=3y+4

60-4y=3y+4

60-4=3y+4y

56=7y

y=56/7

y=8

original fraction =x/y

from 1,x=15-y & y=8

hence x=15-8=7&y=8

x/y=7/8