Simplify $83+15$ in $mod 12$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T15:28:35+00:00 2021-01-07T15:28:35+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $83+15$ in $mod 12$

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Simplify $83+15$ in $mod 12$

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Sengemegz · Accepted Answer · 2021-01-09T20:30:26+00:00

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Sengemegz Moderator

2021-01-09T20:30:26+00:00Added an answer on January 9, 2021 at 8:30 pm

$83+15$ in $mod 12$
$\Rightarrow 83+15=98$ in $mod 12$
next look for the number that will multiple 12 to give 98 or a number close to 98 but not more than 98
$\Rightarrow 12 \times 8=96$
What must be added to 96 to make it 98? is 2
$\therefore 83+15\equiv 2$ in $mod 12$

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Simplify $83+15$ in $mod 12$