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Question Number 200834 by Rasheed.Sindhi last updated on 24/Nov/23
Show that abc ^(−) + bca ^(−) + cab ^(−) is divisible by 37
$${Show}\:{that}\:\:\:\overline {\:\:{abc}\:}+\overline {\:{bca}\:}+\overline {\:{cab}\:} \\ $$$${is}\:{divisible}\:{by}\:\mathrm{37} \\ $$
Answered by AST last updated on 24/Nov/23
111(a+b+c) is a multiple of 37
$$\mathrm{111}\left({a}+{b}+{c}\right)\:{is}\:{a}\:{multiple}\:{of}\:\mathrm{37} \\ $$
Commented by Rasheed.Sindhi last updated on 24/Nov/23
Thanks sir!
$$\mathcal{T}{hanks}\:{sir}! \\ $$

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