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 74646: 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 checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
X+12=Y, X=Y-12
X+2Y=39 NOW SUBSTITUTE (Y-12) FOR X IN THIS EQUATION & SOLVE FOR X
(Y-12)+2Y+39
Y-12+2Y=39
3Y=39+12
3Y=51
Y=51/3
Y=17 ANSWER FOR THE LARGER NUMBER.
X+12=17
X=17-12
X=5 ANSWER FOR THE SMALLER NUMBER.
PROOF
5+2*17=39
5+34
39=39