SEAMO 2017 — Paper E — Grade 9–10 Question 17

Question 17

Let $n_1,n_2,\ldots,n_{2017}$ be positive integers and $x=(n_1+\cdots+n_{2016})(n_2+\cdots+n_{2017})$, $y=(n_1+\cdots+n_{2017})(n_2+\cdots+n_{2016})$. Which statement is true?

$x=y$
$x\gt y$
$x\lt y$
$x-n\lt y-n_{2017}$
None of the above