Maths
posted by Jannie on .
When the numerator and denominator of a fraction are each increased by 5, the
value of the fraction becomes 3/5
When the numerator and denominator of that same
fraction are each decreased by 5, the fraction is then 1/5
Find the original fraction.
(Hint: Let the fraction be p/q) Write in simultaneous equations

first equation:
(p+5)/(q+5) = 3/5 or
5p + 25 = 3q + 15
5p  3q = 10
second equation:
(p5)/(q5) = 1/5 or
5p  25 = q  5
5p  q = 20
solve the two equations by adding them 
help me in math trish

The denominator of a rational number is greater than the numerator by 4. If the numerator is increased by 2 and the denominator is decreased by 1, the number becomes 7/8. Find the original rational number.