One number exceeds another by 11. The sum of the numbers is 31. What are the numbers
Let's represent the smaller number as x and the larger number as x + 11. According to the problem, their sum is 31, so we can write the equation:
x + (x + 11) = 31
Simplifying, we get:
2x + 11 = 31
Subtracting 11 from both sides:
2x = 20
Dividing both sides by 2:
x = 10
Therefore, the smaller number is 10 and the larger number is 10 + 11 = 21.