Count Forwards And Backwards In Steps Of Power 7 - Reasoning

Leanna is engaged in an exercise that involves reasoning with numbers and place value, specifically counting backwards in large increments of 10,000. The challenge set for her is to determine a four-digit number she could have ended with, given three specific conditions: the number must have the same digits in the thousands and hundreds places, and the sum of all the digits in the number must equal 5. This mathematical puzzle requires a blend of logical thinking and an understanding of number properties to arrive at the correct answer.

After careful consideration, it is determined that there are several numbers that meet these criteria. Possible solutions include numbers such as 2,201 and 2,210, where the thousands and hundreds digits are both 2, contributing to the sum of digits equalling 5. Other valid numbers that Leanna could have ended with are 1,130 and 1,103, where the thousands and hundreds digits are both 1. Additionally, numbers like 1,112 and 1,121 also satisfy the given conditions. These examples illustrate the multiple solutions that can arise from a single set of numerical constraints, showcasing the versatility and depth of number reasoning and place value understanding.