The+sum+of+two+numbers+is+30+six+less+than+twice+the+smaller+number+is+equal+to+the+number+x+find+the+larger+number

Please give me the answer

2 answers

The denominator of a fraction exceedsby 3. If the numerator is decreased by 1 and the denominator is increased by 3, the value of the resulting fraction is 1/2. What is the denominator and numerator?

Please give me the answer in detail form thanks
What's with all the + signs in the first post?

smaller ---- x
larger ----- 30-x

2x - 6 = 30-x
3x = 36
x=12

smaller is 12, larger is 30-x or 18

2nd:
I will assume you meant to type:
"The denominator of a fraction exceeds the numerator by 3"
so the original fraction is x/(x+3)

stated scenario:
(x-1)/x = 1/2
2x-2 = x
x = 2

the original numerator is 2, and the denominator is 5
that is, the fraction was 2/5