If x and y are integers, what is the least positive number of 24x+16y? Options
A) 3  B) 4  C) 5  D) 6  E) 8

Rationale: "24 x + 16 y = 8 ( 3 x + 2 y ) which will be a minimum positive number when 3 x + 2 y = 1 . 3 ( 1 ) + 2 ( - 1 ) = 1 then 8 ( 3 x + 2 y ) can have a minimum positive value of 8 . the answer is e ."
Answer: E