SOLUTION: please help me solve this question. The sum of two number is 55. The larger number is eleven more than the smaller number. Find the smaller number.

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Question 946637: please help me solve this question. The sum of two number is 55. The larger number is eleven more than the smaller number. Find the smaller number.
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that x is the smaller number.
Assume that y is the larger number.
Based on the question, we know that
+x+%2B+y+=+55+
We also know that since "y" is 11 more than "x" we can also assume that
+y+=+x+%2B+11+
With this information given, we can substitute y in for x like so:
+x+%2B+y+=+55+
+x+%2B+x+%2B+11+=+55+ Substitution
+2x+%2B+11+=+55+ Combine Like Terms
+2x+%2B+11+-+11+=+55+-+11+ Subtraction Property of Equality
+2x%2F2+=+44%2F2+ Division Property of Equality
+x+=+22+

Since x is the smaller number, 22 is your answer.