John is 3/4 the age of James. Three years ago, John was 5/2 the age of James. How old is James?
Second half of your question should read "Three years ago, John was 5/7 (NOT 5/2) the age of James".
James's age today =J
John's age today =0.75J
[0.75J - 3] / [J - 3] = 5/7, solve for J
[0.75J - 3] =5/7J - 15/7
[0.75J - 5/7J = 3 - 15/7
[J / 28 ] = 6 / 7
J =[6 * 28] / 7
J = 24 years - James's age today.