Question

The numerator of a fraction is
smaller than the denominator by 7.
If 1 is added to the numerator and 1
is subtracted from the denominator
then the new fraction is 6/5. Find
denominator of the fraction.​

Answer 1

Answer:

The denominator is 48.

Explanation:

Let x be the numerator and y be the denominator.

As per the question,

y = x+7

As per the question ,

x+1/y-1 = 6/5

=> x+1/x+7-1 = 6/5

=> x+1/x-6 = 6/5

=> 5(x+1) = 6(x-6)

=> 5x+5 = 6x+36

=> x = 41

y = 48