Question

The numerator of a fraction is 4 less than denominator. if 1 is added to both its numerator and denomintor, it becomes 1/2. find the fraction ​

Answer 1

Answer:

Given that

The numerator of a fraction is 4 less than the denominator

1 is added to both its numerator and denominator, it becomes 1/2.

So let the fraction to be predicted a/b

As per the given condition

Numerator= denominator-4

a=b−4

=b−a=4

As per the given data

if 1 added to both numerator and denominator then fraction becomes 1/2

a+1 / b+1 = 1/2

On cross multiplying the above equation we get,

2a+2=b+1

2a−b=−1

(2a−b)+(b−a)

=4−1

a=3,

and b=7

Fraction= 3/7

Answer 2

ǟռֆաɛʀ :

Let the numerator be x & denominator be y

Fraction = numerator/denominator = x/y

ATQ

CASE 1 :

x = y - 4

x- y = - 4 …………..(1)

CASE 2 :

8(x - 2) = y + 1

8x - 16 = y + 1

8x - y = 17………... (2)

On Subtracting eq (2) from (1)

x - y = - 4

8x - y = 17

(-) (+) (-)

----------------

-7x = -21

x = 21/7

x = 3

Put x = 3 in eq 1,

x - y = - 4

3 - y = - 4

y = 3 + 4 = 7

y = 7  

x = 3

y = 7

Fraction = x/y = 3/7

Hence, the fraction is 3/7.