Square the Number

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

Can you find the number?




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It was a difficult case, and John was completely stumped until he noticed a message sent to him by the killer cunningly hidden in a newspaper advertisement selling Car Licence Plates.
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Plates For Sale;

[W 05 NWO]
[H 13 HSR]
[O 05 EBM]
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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.