Ascending Numbers Equation

Level 2

Entering the numbers 1-7 inclusive in a particular order in this equation: A B + C D × E × F G A||B + C||D \times E \times F^{G} , where || is concatenation, you get an 8 digit number with no repeating digits that uses all the numerals from 1-9 inclusive, except for one. What is the missing digit? If you think there are multiple digits available, please submit your answer as the largest possible missing digit cubed.


The answer is 216.

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1 solution

Vadim Evstifeev
Feb 3, 2019

This is one of two answers. Obviously just plugging in 1234567 into the equation gives 47589132 with 6 missing, however, if the "particular order" is 3, 2, 4, 1, 5, 6, 7 this will give you 32 + 41 * 5 * 6^7 = 57386912 which meets the question details and is missing the digit 4!

Thanks, changed that!

Daniel Xian - 2 years, 4 months ago

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