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.

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) (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

We also know that since "y" is 11 more than "x" we can also assume that

With this information given, we can substitute y in for x like so:

Substitution
Combine Like Terms
Subtraction Property of Equality
Division Property of Equality

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

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