SOLUTION: sue and manuel collect model trains, sue has one more train than manuel has, together they have 13 trains, how many trains do each of them have?

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Question 530826: sue and manuel collect model trains, sue has one more train than manuel has, together they have 13 trains, how many trains do each of them have?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
By observation, we can say that Sue has 7 and Manuel has 6.
.
Algebraically, we can show this is true.
.
x = Sue's trains
y = Manuel's trains
.
x + y = 13
so
x = 13-y
.
x = y + 1 (given)
.
x = x
so
13-y = y +1
12 = 2y
2y = 12
y = 6
.
x = y+1
x = 7
.
Done.