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

Click here to see ALL problems on Linear-systems

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: