Friday, January 13, 2017

logical deduction - Correct way to add 22 to 4 to get 613867


Inspired by this, this, and this.




I'm not great at math, I'll admit. However, I am quite sure that there is a way to add 22 to 4 to obtain the number 613867. Now, that's a pretty big number, so my calculations might be a little off, so let's say the addition of 22 to 4 is within 1% of 613867.




As with all of the other puzzles, consider these numbers in base 10.



Answer





The atomic number of titanium is $22$, and the atomic number of beryllium is $4$. Titanium and beryllium have a combined molar mass of $56.8792\text{ u}$. Methyl isocyanate has a molar mass of $57.051\text{ u}$, whch is within $1\%$ of the sum of titanium and beryllium.



Reasoning:



You can interpret the number $613867$ as a chemical formula, with the numbers either representing the atomic number of the element or the subscript representing the number of atoms in the molecule. The most reasonable solution along this logic is methyl isocyanate, $\text{CH}_3\text{OCN}$. Similarly, $22$ is the atomic number of titanium, and $4$ is the atomic number of beryllium. Titanium and beryllium have a combined molar mass of $56.8792\text{ u}$. Methyl isocyanate has a molar mass of $57.051\text{ u}$, whch is within $1\%$ of the sum of titanium and beryllium.



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