Three Numbers Puzzle

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.




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There is a square of a particular number which when doubled, becomes 7 more than its quarter.

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What number comes next in the series?

5 15 5 18 5 24 14 20 _

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RDSH
GGPLNT
TMT
NN

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The inventor of the Rubik’s Cube didn’t realize he’d built a puzzle until he scrambled it the first time and tried to restore it.