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.

Algebra ->  Graphs -> 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.       Log On


   

Question 127120: 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 solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
One number is x, and the other is y.

x is 12 more than y: x=y%2B12

The smaller number, y, plus twice the larger number, x, is 39:

y+%2B+2x+=+39

Substituting:
y%2B2%28y%2B12%29=39
3y%2B24=39
3y=15
y=5

Since y = 5, x must be 5 + 12 = 17.

Check: 5 + 2(17) = 5 + 34 = 39. Answer checks.