One number exceeds another by 5. The sum of the numbers is 27. What are the numbers?
Let's call the smaller number "x" and the larger number "x+5".
According to the given information, the sum of the numbers is 27. So, we can write the equation:
x + (x + 5) = 27
Simplify the equation:
2x + 5 = 27
Subtract 5 from both sides:
2x = 22
Divide by 2:
x = 11
So, the smaller number is 11 and the larger number is 11 + 5 = 16.