Question

the numerator of a fraction is 4 less than its denominator if 1 is added to both it's numerator and denominator the fraction becomes ½. find the fraction​

Answer 1

Step-by-step explanation:

Let the fraction be ba

Numerator= denominator-4

a=b−4⇒b−a=4

If 1 added to both numerator and denomator then fraction =21

b+1a+1=21

2a+2=b+1

2a−b=−1

(2a−b)+(b−a)=4−1

a=3,b=7

 Fraction=73

Answer 2

Answer:

Let x and y be the denominator and numerator respectively.

The fraction is x/y.

Then,

y-x=4

y=4+x eqn.(1)

& x+1/y+1=1/2

2x+2=y+1

2x-y=1-2

2x-4+x=1-2 putting y=4+x from eqn.(1)

2x-4+x=-1

x=3

putting the value of x in eqn. (1) we get,

y=4+3

y=7

Therefore, the denominator and numerator are 3 and 7 respectively.