SOLUTION: The smaller number is 13 less than the larger number. Their sum is 111. Find the larger number.

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Question 1007741: The smaller number is 13 less than the larger number. Their sum is 111. Find the larger number.
Found 2 solutions by Fombitz, fractalier:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
B=A-13
A%2BB=111
Substituting from the first equation,
A%2B%28A-13%29=111
2A-13=111
2A=124
A=62

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger number x and the smaller one y. Then we have
y = x - 13 and
x + y = 111
Rearrange the first one and get
x - y = 13 and then add it to the other equation:
x + y = 111
--------------
2x = 124
x = 62
y is the 62-13 = 49