Question

2) The denominator of a fraction is greater than its numerator by 12. If numerator is
decreased by 2 and denominator is increased by 7, the new fraction is equivalent
with 1
2
.Find the fraction.

Answer 1

Answer:

23/35

Step-by-step explanation:

Let the numerator of fraction be x.

The denominator of the fraction is greater than its numerator by 12.

the denominator is x +12

fraction is x/ x+12

The numerator is decreased by 2.  

» the new numerator is x - 2.  

The denominator is increased by 7.  

» the new denominator is

x + 12 + 7 = x + 19

From the given condition,

x-2/x+19 = 1/2

2(x-2) = x +19

2x - 4 = x + 19

2x - x = 19 +4

x= 23

hence

x/x+12

putting in the values

23/23+12

ANS. 23/35

Hope this helps