The two numbers are 9 and 16. This can be determined using algebra.
Solving the Problem Algebraically
Here's how to solve this problem using algebra, as suggested by the reference:
-
Define the variables:
- Let 'x' be one number.
- The other number is 'x + 7' (since one number is 7 less than the other, the other is 7 more).
-
Set up the equation:
- The sum of the two numbers is 25, so: x + (x + 7) = 25
-
Solve for x:
- 2x + 7 = 25
- 2x = 25 - 7
- 2x = 18
- x = 9
-
Find the other number:
- The other number is x + 7 = 9 + 7 = 16
Therefore, the two numbers are 9 and 16.