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Puzzle ZBXV 



??

What number comes next in this sequence:
986888
724864
143224
==??==

Puzzle Copyright © Kevin Stone

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Answer
468.

Reasoning
If we split each line in the following way:

98 68 88
72 48 64
14 32 24

Each new line is generated by multiplying the digits two at a time and writing the result below.

For example, 9 x 8 = 72, so 72 appears directly below 98.

And 7 x 2 = 14, so 14 appears directly below 72.

Double-Checking
9 x 8 = 72 and 7 x 2 = 14.

6 x 8 = 48 and 4 x 8 = 32.

8 x 8 = 64 and 6 x 4 = 24.

 

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