Let's assume that the smaller number is x.
Since "One number exceeds another by 3," the larger number would be x + 3.
According to the second statement, "The sum of the numbers is 31," we can create the equation: x + (x + 3) = 31
Simplifying the equation, we get: 2x + 3 = 31
Subtracting 3 from both sides, we find: 2x = 28
Dividing both sides by 2, we obtain: x = 14
So, the smaller number is 14, and the larger number is 14 + 3 = 17.
One number exceeds another by 3. The sum of the numbers is 31. What are the numbers
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