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What are the two missing numbers in the sequence shown below:

$$\def\S{\phantom{XX}} \large\begin{array}{|c|c|c|c|c|c|}\hline \S&\S&\S&\S&\S&\S\\[-10px] 4 & 5 & 6 & 7 & 8 & 9 \\ 51 & 42 & ? & 84 & 36 & ? \\[-10px]\\\hline\end{array}$$

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1 Answer 1

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I guess the answer is

$53$ and $08$.

Because

If you look at the bottom part and swap the digits, you will get: $15-24-?-48-63-?$

And to solve this

Look at the differences. The differences are $9-(11)-(13)-15-(17)$ so the question marks will be $35$ and $80$ thus swap the digits again to get the final answer.

Alternatively from @hexomino

The number below is the digit-reversal of "the square of the number above then minus $1$".

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    $\begingroup$ rot13(Zber pbapvfryl, jr'er erirefvat gur qvtvgf bs $n^2-1$ jurer $n$ vf gur ahzore ba gbc) $\endgroup$
    – hexomino
    Jun 12, 2019 at 10:26
  • $\begingroup$ Got it!!…………... $\endgroup$
    – Uvc
    Jun 12, 2019 at 10:27
  • $\begingroup$ @hexomino great observation! :o $\endgroup$
    – athin
    Jun 12, 2019 at 13:22

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