Question

The denominator of a fraction is one less than four times the numerator. If 1 is added to both numerator and denominator, the fraction becomes 3/8. Find the denominator.

Answer 1

Answer:

Let the fraction be

b

a

Numerator= denominator-4

a=b−4⇒b−a=4

If 1 added to both numerator and denomator then fraction =

2

1

b+1

a+1

=

2

1

2a+2=b+1

2a−b=−1

(2a−b)+(b−a)=4−1

a=3,b=7