Final answer:
The answer provides a method to determine the two numbers chosen by Miguel and calculates their sum.
Explanation:
To find the two numbers chosen by Miguel, one with three digits and the other with two digits, given their difference is 989:
- Let's assume the three-digit number is ABC and the two-digit number is DE. This leads to the equation 100A + 10B + C - 10D - E = 989.
- From this, we know that A = 1 and E = 9 to have the difference of 989. By trial and error, you can determine B, C, and D.
- The sum of the numbers chosen by Miguel, ABC and DE, can then be found by adding these values together.
Learn more about Finding two numbers with a specific difference and calculating their sum here:
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