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) (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.
Then we plug this back into the first equation and solve.
So our numbers are 13 and 31, which we can check by plugging them back into the equations.