Which of the following numbers could be the sum of a two-digit number and a three-digit number? A. 102 B. 1002 C. 2001 D. 20001

Answer

To find out which of these numbers could be the sum of a two-digit number and a three-digit number, we need to establish the range of possible sums. A two-digit number ranges from 10 to 99, inclusive. A three-digit number ranges from 100 to 999, inclusive. Consequently, the smallest possible sum is obtained by adding the smallest two-digit number (10) to the smallest three-digit number (100): 10 + 100 = 110. The largest sum is obtained by adding the largest two-digit number (99) to the largest three-digit number (999): 99 + 999 = 1098. Therefore, the possible range for the sum of a two-digit number and a three-digit number is from 110 to 1098. Now let’s analyze each option: A. 102: This is less than 110, so it cannot be the sum of a two-digit number and a three-digit number. B. 1002: This exceeds 1098, so it cannot be the sum of a two-digit number and a three-digit number. C. 2001: This also exceeds 1098, so it cannot be the sum of a two-digit number and a three-digit number. D. 20001: This is much higher than 1098, so it cannot be the sum of a two-digit number and a three-digit number. After evaluating all options, we conclude that none of them could be the sum of a two-digit and a three-digit number.