SOLUTION: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.

Question 70245: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let L=larger number and S=smaller. The larger number (L) can be represented as 12 more than the smaller (or equal to 12+smaller). So

And we're given the fact that the sum of the smaller and twice the larger is 39 which can be represented as

Now the L from the first equation can be substituted into the 2nd equation
Now solve for S

Now plug this back into the first equation

So the smaller number is 5 and the larger is 17.
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