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Solving a Unique Number Problem Involving Roman Numerals and Prime Digits

Join me on a mathematical adventure as I solve a number problem involving the smallest positive multiple of 13 and Roman numerals. I break down the steps to find numbers A and B, where A is a multiple of 13 whose digit sum is prime, and B is derived from the Roman numeral DXLIX. By calculating sums and performing some basic arithmetic, we discover my final answer of 1147, which is precisely three less than the combined total of A and B. This problem showcases the fun in math and the beauty of numbers!

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Solving a Unique Number Problem Involving Roman Numerals and Prime Digits

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Presentation Transcript

  1. Problem #1 Week 5 BY: Alexis Rapach :P

  2. Problem • My number is 3 fewer than the sum of A and B. A is the smallest positive multiple of 13 for which the sum of its digits is prime. B is twice the value of the Roman numeral DXLIX. What is my number?

  3. Step 1 • First I found the roman numeral DXLIX. It was 549 so I had to double it so now I have 1098. 549 + 549 1098

  4. Step 2 • Then after I found the roman numeral I had to find the smallest positive multiple and it had to be prime. So I started with the smallest multiple of 13 and continue with the next smallest until finding one that fits the problem. • 13} 1 + 3 = 4 which is not prime • 26} 2 + 6 = 8 which is not prime • 39} 3 + 9 = 12 which is not prime • 52} 5 + 2 = 7 which is prime

  5. Step 3 • After I found the Roman Numeral and the smallest positive multiple of 13 that’s prime, I added them together; 1098 + 52 = 1150 and in the problem if you read it says 3 less than the sum of A and B. And if the sum for A is 52 and the sum for B is 1098 and they equal 1150 together than I need to subtract 3 from 1150 and I get; 1150 – 3 = 1147

  6. ANSWER 1147

  7. Websites used for pictures • \http://chronizt.info/wp-content/uploads/2010/08/Funny-Math-Answers-4.jpg(elephant) • http://www.innocentenglish.com/funny-pics/best-pics/funny-math-test-answer1.jpg(stupid X) • http://jacobyap.com/wp-content/uploads/2010/02/math09.gif(funny angle) • http://www.asklopan.com/pictures/funny%20test%20answers%20(11).jpg(funny giraffe) • http://icanhascheezburger.files.wordpress.com/2008/08/funny-pictures-cat-did-the-math-and-you-cannot-afford-the-dog.jpg (funny Cat) • http://haha.nu/files/uploads/2006/funny-math/06.jpg(expand) • http://www.almightydad.com/wp-content/uploads/2009/09/funny_math_logic_03.jpg (3-2 people)

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