SOLUTION: One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers.

Question 63641: One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers.
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers.

Let S = the smaller number and L = the larger one.
Then, and .
Replace L with S+6 in the first equation:
Then, or .
So, or .
So, the smaller number is 4. The larger is 6 more than 4 so the larger number = 10.
To verify that the numbers are 4 and 10 we note the the sum of the smaller number and three times the larger number is .

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