Magic number 1089 Research Paper Example | Topics and Well Written Essays - 1000 words

Magic frame 1089 - Research newspaper publisher ExampleThe procedure that yields the number 1089 through deliberatenesss bearing three digit numbers involves three radical steps. The first step involves a random selection of a three-digit number, which has the first and resist digits having a residue of more than cardinal. Secondly, the digits are reversed, this changes the order of the numbers such that the first one appears as the last and the last as the first. For physical exertion, 469 is reversed to become 964. After this, the smaller of the numbers is subtracted from the one that has a bigger value. From the example above it leave alone be (964-469)= 495. Finally, the number obtained in step two is added to its reverse hence generating the number 1089. In our example, 495+593 yields 1089. This procedure yields this number (1089) only given that the three digit numbers used perpetually have a difference of more than two between the first and the last numbers.To unrave l the mystery story behind the magic behind the mathematical logic we can systematically analyze the calculations. If the three digits in our number are a, b and c respectively then, we establish the three digit number will be given by (100*a) + (10*b) + c. this means that when the number is reversed, it becomes (100*c) + (10*b) + a. Engaging the next step in the calculation which involves a subtraction of the biggest number from the smallest (in this case we can use any of the numbers since we are not certain which letters represents the largest number). (100a+10b+c) (100c + 10b + a) yields 99 (a-c). The logic here is that (a-c) must always be greater than two and definitely not greater than 9. The trick is usually in the predictable numbers that are obtained afterwards the process gets to this level. It is a must that the values of 99 (a-c) should be either 198, 297, 396,495, 594, 693, 792, or 891. Looking cautiously at these eight