what is the sum of 2 digit multiples of 11?

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04-10-2014
Mathematics

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what is the sum of 2 digit multiples of 11?

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Mariamikaylaidn Mariamikaylaidn · Answer 1 · 2014-10-04T18:47:43-04:00

Mariamikaylaidn Mariamikaylaidn

04-10-2014

[tex]M_{11}=\{11;22;33;44;55;66;77;88;99 \} \\\\ S=11+22+33+....+99 \\\\ S=\frac{(11+99)*9}{2} \\\\ S=\frac{110*9}{2} \\\\ S=55*9 \\\\ \boxed{S=495}[/tex]

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