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 49421: 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 pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller number
So,larger number = x + 12
Need to sort out an equation from information given
Smaller + twice the larger = 39. This gives us:
x + 2(x+12)= 39. Multiply expression in brackets by 2
x + 2x + 24 = 39 Add x terms
3x+24 = 39 Subtract 24 from both sides
3x = 15 Divide both sides by 3
x = 5 This is your smaller number
So, larger number is 5 + 12 = 17
Pete