I cant get this right

Question

Elian and Alberto won tickets at an arcade. When they put their tickets together they had

exactly 100. Alberto won 12 tickets less than Elian. Let a be the number of tickets Alberto

won and let e be the number of tickets Elian won.

Answer 1

Together they had 100 tickets, so:

a + e = 100

Alberto (a) has 12 tickets less than Elian(e).

a = e - 12

Since the 2nd equation already has a in terms of e, substitute the expression for "a" into the 1st equation (substitution for equality).

(e - 12) + e = 100

2e - 12 = 100

2e = 112

e = 56

a = 56 - 12 = 44

Elian has 56 tickets.

Alberto 12 less than that: 44

And 56 + 44 = 100