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# Puzzles

## Reverse bases

Find two digits $$a$$ and $$b$$ such that $$ab$$ in base 10 is equal to $$ba$$ in base 4.
Find two digits $$c$$ and $$d$$ such that $$cd$$ in base 10 is equal to $$dc$$ in base 7.
Find two digits $$e$$ and $$f$$ such that $$ef$$ in base 9 is equal to $$fe$$ in base 5.
Tags: numbers, bases
If you enjoyed this puzzle, check out Sunday Afternoon Maths VII,
puzzles about bases, or a random puzzle.

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