SOLUTION: The larger of two numbers is 6 less than 9 times the smaller. Their sum is 54. Find the numbers. I just need a little help getting started. Mom and Dad are no help. Thank you.

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Question 739355: The larger of two numbers is 6 less than 9 times the smaller. Their sum is 54. Find the numbers. I just need a little help getting started. Mom and Dad are no help. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers +a+ and +b+
I'll pick +a+ to be the larger number
given:
(1) +a+=+9b+-+6+
(2) +a+%2B+b+=+54+
-----------------
(1) +-a+%2B+9b+=+6+
Now you can add the equations, solve for +b+,
then solve for +a+