Question

The

Sum of the numerator and the denominator of a
fraction is 9. If 3 is added to each
of the numerator and
the denominator
it
becomes 1/2 find the fraction.

​

Answer 1

Answer:

x/y=2/7

Step-by-step explanation:

Let the fraction be x/y,

x+y=9..........eq1.

(x+3)/(y+3)= 1/2

forming equation from this,

we cross multiply,

2(x+3)=1(y+3)

2x+6=y+3

2x-y=3-6

2x-y=-3........eq2.

Subtracting eq1 and eq2,

x+y=9

2x-y=-3

both y are reduced,we get,

3x=6

x=6/3

x=2.......eq3.

putting eq3. in eq1.,

2+y=9

y=9-2

y=7

Therefore,the fraction x/y=2/7