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.Define variables, set up equation(s) and solve.

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.Define variables, set up equation(s) and solve.      Log On


   

Question 136579: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.Define variables, set up equation(s) and solve.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be one number.
Given y+=+x+%2B+12 and x+%2B+2y+=+39
Use substitution to solve for y as follows:
y+=+x+%2B+12 --> y-12=x
x+%2B+2y+=+39
%28y-12%29+%2B+2y+=+39
3y-12+=+39+
3y+=+51
y+=+17
Check your answer. x+=+y-12 = 5. Does 5+%2B+2%2A17+=+39 ??