UPSKILL MATH PLUS

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When the positive integers \(a\), \(b\) and \(c\) are divided by \(13\), the respective remainders are \(9\), \(7\) and \(10\). Show that \(a + b + c\) is divisible by \(13\).
 
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This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.