Grades 11-12 Video Solutions 2025-2025_11-12

Video Transcription

Video Summary

In this Math Kangaroo problem, a student repeatedly replaces two numbers on a board with their sum and positive difference. Starting with numbers 3 and 5, the process is repeated 50 times. Through each two-step cycle, the numbers double: after two turns, (3, 5) becomes (6, 10), and so on. This means every two turns, each number is multiplied by 2. After 50 turns, the transformation is applied 25 times, leading to the final numbers being \(3 \times 2^{25}\) and \(5 \times 2^{25}\). Therefore, the correct answer is option D.

Keywords

Math Kangaroo

number transformation

sum and difference

doubling process

final numbers