SOLUTION: The difference of 2 numbers is 18. One number is 5 more than twice the other. FInd the numbers.

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Question 930760: The difference of 2 numbers is 18. One number is 5 more than twice the other. FInd the numbers.
Answer by rcdodds(6) About Me  (Show Source):
You can put this solution on YOUR website!
Let's turn these word problems into equations that we can solve.
The first sentence tells us that x-y=18, if we allow x and y to be the numbers we're looking for. The second sentence tells us that x=2y+5.
From here we insert the second equation into the first equation and solve.
x-y=18
2y%2B5-y=18
y%2B5=18
y=13
Then we plug this back into the first equation and solve.
x-y=18
x-13=18
x=31
So our numbers are 13 and 31, which we can check by plugging them back into the equations.