Problema Solution
Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive even integers whose sum is 590. If there are more episodes of Show A, how many episodes of each were there?
Answer provided by our tutors
let 'n' represent the half count of one show, then '2n+2' represents the count of the other show
we solve for 'n':
590 = 2n + 2n+2
588 = 4n
n = 588/4 = 147
147*2 = 294
294+2 = 296
since there are most episodes of Show A, there are 296 episodes of Show A and 294 episodes of Show B