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## Sum Equals Product

Permanent link to this puzzle: mscroggs.co.uk/puzzles/56
$$3$$ and $$1.5$$ are a special pair of numbers, as $$3+1.5=4.5$$ and $$3\times 1.5=4.5$$ so $$3+1.5=3\times 1.5$$.
Given a number $$a$$, can you find a number $$b$$ such that $$a+b=a\times b$$?
Tags: Numbers
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