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2011 AMC 10A Question 4

AMC10 · 2011 AMC 10A

Question 4

Let $X$ and $Y$ be the following sums of arithmetic sequences: $$
\begin{aligned} X &= 10+12+14+\cdots+100,\\ Y &= 12+14+16+\cdots+102. \end{aligned}
$$ What is the value of $Y - X?$
  1. $92$
  2. $98$
  3. $100$
  4. $102$
  5. $112$