195527

The answer is yes and this is how we found our solution. First, we looked at which categories couldn’t cross over, including, odd and even and numbers more and less than 20. That is because it’s not possible for a number to be odd and even at the same time, there was no 0 in the problem, and we believe 0 is not odd or even. It is also not possible for a number to be b​​oth under and over 20, it could be exactly 20 but that wasn’t in the problem. Then we looked at what categories could cross over, including triangular and square numbers and prime and odd numbers. We looked for numbers that could fit both categories such as 1 and 36. From that, we did trial and error using the possibilities, until we adjusted our strategy and then we worked out which numbers could be substituted until we achieved our answer. We also realized that one could not be in prime numbers as it’s neither prime nor composite. Solution and answer was accomplished by Emily Ablett, Mason Pinnington and Summer Lee, at Irymple Secondary College, Victoria, Australia. We would also like to thank Julie Powell for introducing us to this problem and giving us a couple of clues along the way.