Five cards have the numbers 101, 102, 103, 104 and 105 on their fronts.
101
102
103
104
105
On the reverse, each card has one of five different positive integers: a, b, c, d and e respectively. We know that c = be, a + b = d and e - d = a. Frankie picks up the card which has the largest integer on its reverse. What number is on the front of Frankie's card? (A) 101 (B) 102 (C) 103 (D) 104 (E) 105
