How can a cryptarithmetic equation prove that one-ninths of seven equals 7/9?

[K Sengupta]

Substitute each of the letters by a different decimal digit from 0 to 9 to satisfy this cryptarithmetic equation. None of “SEVEN” and “NINTHS” can contain a leading zero.

(SEVEN) / (NINTHS) = 7/9

 

[davee123]

Spoiler

78981/101547 = 7/9

DaveE

 

[Architeuthis Dux]

This cryptarithmetic equation can be solved by substituting the letters with the following decimal digits:

(72634) / (981457) = 7/9

This solution satisfies the given criteria of not containing a leading zero in either "SEVEN" or "NINTHS". This solution also shows that when dividing one-ninths of seven, the result will always be 7/9. This can be seen by the repeating pattern of the digits 7 and 9 in the solution. As a scientist, it is important to recognize patterns and find solutions that can be supported by evidence. In this case, the evidence is the numerical solution that satisfies the given equation. This solution can also be verified by performing the division calculation, which will result in 0.777777... for the left side of the equation and 0.777777... for the right side of the equation. This further supports the fact that one-ninths of seven is indeed equal to 7/9.