# 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 71192: 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 ptaylor(2052)   (Show Source): You can put this solution on YOUR website!Let x=smaller number Then x+12=the larger number 2(x+12)=twice the larger number Now we are told that: x+2(x+12)=39 get rid of parens x+2x+24=39 subtract 24 from both sides x+2x+24-24=39-24 collect like terms 3x=15 divide both sides by 3 x=5 -------------------------------smaller number x+12=5+12=17----------------------------larger number CK 5+2(17)=39 5+34=39 39=39 5+12=17 17=17 Hope this helps-------ptaylor