# An algebra problem by math man

Algebra Level 1

Given that $$a$$, $$b$$, $$c$$, $$d$$ and $$e$$ are real numbers such that

$a+b=2, \\ b+c=3, \\ c+d=4,\\ d+e=5,\\ e+a=6,$

then find the value of $$a+b+c+d+e$$.

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