Question

16) The denominator of a fraction is greater than the numerator by 8. If the numerator is
increased by 17 and denominator is decreased by 1, the number obtained is 3/2. Find
the fraction.​

Answer 1

Answer:

37/ 54

Step-by-step explanation:

let the numerator of the fraction be x and its denominator be y

therefore the fraction is x/y

Now, acc to the first condition

y - x = 8

i.e. -x + y = 8

now acc to the second condition

x+17/y-1 =3/2

therefore 2(x + 17) = 3(y - 1)

2x + 34 = 3y - 3

2x - 3x = -3 -34

-x = 37

therefore x= 37

y=x + 17

= 37 + 17

= 54

therefore the original fraction is 37/54