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.

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Question 125690: 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 MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
One number (let it be x) is 12 more than another(let it be y).
assume x%3Cy, then y+=+x+%2B+12
The sum of the smaller number and twice the larger number is 39:
x+%2B+2y+=+39
since y+=x+%2B+12, we will have;
x+%2B+2%28x+%2B+12%29=+39
x+%2B+2x+%2B+24+=+39
+3x++=+39+-24
+3x++=+15
+x++=+5
the larger number will be:
y+=x+%2B+12
y+=+5+%2B+12
y+=++17
check:
x+%2B+2y+=+39...plug in x and y
5+%2B+2%2817%29=+39
5+%2B+34+=+39
39+=+39