Question

A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three comers from the third. Rank the three according to the x - coordinate of their of mass, from smallest to largest.

Arrange in ascending order. For eg if the order is $x_1<x_2<x_3$, answer is 123

Answer 1

$x_1=\left(\frac{mx}{M-m}\right)|x_2=\left(\frac{2mx}{M-2m}\right)|x_3=\left(\frac{mx}{M-3m}\right)$
$x_1<x_3<x_2$