Question

The numerator of a fraction is 4 less than the denominator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction become 15. Find the original 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

Answer:

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Numerator= denominator-4

a=b−4⇒b−a=4

If 1 added to both numerator and denomator then fraction = 1/2

a+1/b+1 =1/2

2a+2=b+1

2a−b=−1

(2a−b)+(b−a)=4−1

a=3,b=7

Fraction= 3/7