SOLUTION: The difference between two numbers is 23. One third the larger number plus three times the smaller number is 81. What are the numbers?

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Question 365800: The difference between two numbers is 23. One third the larger number plus three times the smaller number is 81. What are the numbers?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
l - s = 23. This is the same as s = l-23.
l%2F3+%2B+3s+=+81. By direct substitution,
l%2F3+%2B+3%28l-23%29+=+81,
l%2F3+%2B+3l+-+69+=+81,
l%2F3+%2B+3l+=+150,
%28l%2B9l%29%2F3+=+150,
%2810l%29%2F3+=+150,
or l = 45, the larger number.
s = 22, the smaller number.