SOLUTION: One number is 12 more than another. The sum of the smaller number and twice the larger number is 36. Find the larger number

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Question 125707: One number is 12 more than another. The sum of the smaller number and twice the larger number is 36. Find the larger number
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
One number is x, so the "another" number has to be x - 12.

Twice the larger number is 2x. The sum of the smaller number (x - 12) and twice the larger number (2x) is (meaning equals) 36.

So,





. The larger number is 16.

Check: The smaller number has to be 4, 2 times 16 is 32 plus 4 is 36. Answer checks.

Choose x to be the smaller number and work it out. See if you get the same result. (If you don't, keep trying)
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

One number () is more than another ():

is the larger number
is the smaller number
so, we have
.....substitute






then



check:





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