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

Let the fraction be a

b

Numerator= denominator-4

a=b−4⇒b−a=4

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

2

a+1 = 1

b+1 2

2a+2=b+1

2a−b=−1

(2a−b)+(b−a)=4−1

a=3,b=7

Fraction = 3

7