The mean of 2 numbers is 45. The range is 30. What are the 2 numbers?
I know that x+y/2 = 45, and for the range, I know that I should be subtracting the lowest value from the highest one. However, I am having a hard time in combining both of these concepts to contruct an equation that will yield the answer.
Any help will do. Thanks.
You don't need "an equation". You have two unknowns, so you need two equations.
Let $y$ be the larger number. We have $\frac{x + y}{2} = 45$, as you wrote, and $y - x = 30$, which you didn't write but seemed to grasp.
You now have your two equations.