This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Ajala — missed you this week. This problem asks us to identify the pattern in the given examples of quantitative reasoning. a) Example: The numbers in the circles are 8 and 12. The number in the square is 24. We need to find the relationship between 8, 12, and 24. Step 1: Find the prime factorization of 8 and 12. 8 = 2 × 2 × 2 = 2^3 12 = 2 × 2 × 3 = 2^2 × 3^1 Step 2: Calculate the Least Common Multiple (LCM) of 8 and 12. The LCM is found by taking the highest power of all prime factors present in either number. LCM(8, 12) = 2^3 × 3^1 = 8 × 3 = 24 The number in the square is the LCM of the two numbers in the circles. b) Example: The numbers in the circles are 21 and 49. The number in the square is 147. We will check if the same pattern (LCM) applies here. Step 1: Find the prime factorization of 21 and 49. 21 = 3 × 7 49 = 7 × 7 = 7^2 Step 2: Calculate the Least Common Multiple (LCM) of 21 and 49. LCM(21, 49) = 3^1 × 7^2 = 3 × 49 = 147 The number in the square is indeed the LCM of the two numbers in the circles. The pattern demonstrated in these examples is that the number in the square is the Least Common Multiple (LCM) of the two numbers in the circles. Send me the next one 📸