Question

in a fraction the numerator is 4 more than the denominator if 5 is added to the numerator the denominator the new fraction is 4/3 find the original fraction

Answer 1

Let the fraction be p/q, the numerator is 5 more than is denominator, therefore p=q+5,when 5 is added to its denominator the fraction becomes p/5+q.

p/5+q

=5+q/5+q (p=5+q)

=1

Now, it is stated that by doing so the fraction is decreased by 5/4.

Therefore we can say,

p/q-5/4=1

p/q=1+5/4

p/q=9/4

We can check our answer by substitution

9/4–5/4=1

4/4=1

1=1

L.H.S =R.H.S

By this method you can solve this question and check out the answer is correct or not

Hope it will be helpful to you

Answer 2

ans is 11/7. verify it by adding 5 on num. and deno. you''ll get 4/3 by reducing it