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The sum of nineteen consecutive integers is 2014. What is the smallest of the integers?

1 Answer

May 14, 2016

97

Explanation:

$x + 18 \sum i = x = 171 + 19 x = 2014$ $sum_(i=x)^(x+18) = 171+19x=2014$ Solving for $x$ $x$ gives $x = 97$ $x = 97$

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