Betty writes down two different factors of 64 and a multiple of 11.The tree numbers add together to make 34.Write down the tree numbers
Answer (1)
Here's the solution to the riddle.The Three NumbersThe three numbers are 2, 12, and 20.Step-by-Step Explanation * Find the two different factors of 64: * The factors of 64 are: 1, 2, 4, 8, 16, 32, 64. * Since the problem says "two different factors," you can choose any two numbers from this list. Let's start with some of the smaller factors. * Find a multiple of 11: * The multiples of 11 are: 11, 22, 33, 44, 55, and so on. * Combine to make 34: * Now, you need to find two factors of 64 and one multiple of 11 that add up to 34. * Let's test some combinations: * Try using 2 and 12 (not a factor of 64). That won't work. * Let's try a multiple of 11: 11. * 34 - 11 = 23. Can you find two factors of 64 that add up to 23? No. * Let's try the next multiple of 11: 22. * 34 - 22 = 12. Now you need to find two different factors of 64 that add up to 12. * The factors of 64 are 1, 2, 4, 8, 16, ... * Let's check: * 1 + 11 (not a factor of 64) * 2 + 10 (not a factor of 64) * 4 + 8 = 12. Bingo! 4 and 8 are both factors of 64 and add up to 12. * List the three numbers: * The two factors of 64 are 4 and 8. * The multiple of 11 is 22. * Check the sum: 4 + 8 + 22 = 34.The three numbers are 4, 8, and 22.
