Question

The
Sum of the numerator
and
denom erator of a fraction 12. If
denomarator increased by 3, the
fraction
becomes
². Find the fraction​

Answer 1

Correct Question :

The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. What is the fraction ?

Answer:

5 / 7

Step-by-step explanation:

Let the fraction be x/y.

A/c to the 1st condition ,'The sum of the denominator and numerator be 12',

=> x + y = 12 ...(1)

A/c to the 2nd condition , ' If the denominator is increased by 3, the fraction becomes 1/2. '

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

=> 2x = y + 3

=> 2x - y = 3...(2)

Now add (1) & (2) , we get ,

(x+y)+(2x-y)=12+3

=> 3x=15

=> x = 5

sub x value in (1) , we get ,

=> y = 7

Hence the fraction is 5/7.