tsharmila tsharmila

04-10-2014
Mathematics

Answered

what is the sum of 2 digit multiples of 11?

Verified Answer :

mariamikayla mariamikayla

04-10-2014

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

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