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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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)

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: