One number exceeds another by 11. The sum of the numbers is 31. What are the numbers

Answer 1

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.