A fraction becomes 13 when 1 is subtracted from the numerator, and it becomes 14 when 8 is added to its denominator. Find the fraction.

If 2 is subtracted from each of the numerator and the denominator of a fraction ab, it becomes 14. If 17 is added to the numerator and 8 is added to the denominator of the original fraction, then the fraction becomes 1. What is the value of (4a - b)?

One-third of the boys and one-half of the girls of a college participated in a social work project. If the total number of participating students is 300, out of which 100 are boys, what is the total number of students in the college?