When $x$ marbles are packed into bags of $10$, $22$ or $25$, there always remain $3$

Question

When $x$ marbles are packed into bags of $10$, $22$ or $25$, there always remain $3$ marbles not packed into any of the bags. What is the smallest possible value of $x$? In each packing arrangement, at least one full bag is packed.

Accepted Answer

$553$

Lowest Common Multiple and Its Applications

Lowest Common Multiple and Its Applications

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