SOLUTION: please help me thank you one number is 12 more than another.The sum of the smaller number and twice the larger number is 39.Find the larger.

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Question 92430: please help me thank you
one number is 12 more than another.The sum of the smaller number and twice the larger number is 39.Find the larger.

Answer by anraymer(35) (Show Source):
You can put this solution on YOUR website!
One number is 12 more than another:

Sum of the smaller number (y) and twice the larger number (x) is 39:

Find the larger. Start by taking the second equation and solving for x by subtracting y from both sides:

Then divide both sides by 2 to get the x by itself:

Now you can substitute that answer into the first equation:

Multiply both sides by 2 to get rid of the denominator:

Add y to both sides:

Subtract 24 from both sides:

Now you can plug in the value for y to get the answer: