What-is-the-smallest-number-which-must-added-to-9454351626-so-that-it-will-become-divisible-by-11-

Question Number 208506 by Tawa11 last updated on 17/Jun/24

What is the smallest number which must
added to 9454351626 so that it will become
divisible by 11?

Answered by mr W last updated on 17/Jun/24

$$\mathrm{9454351626}=\mathrm{859486511}×\mathrm{11}+\mathrm{5} \\ $$$$\Rightarrow\mathrm{6}\:{is}\:{the}\:{smallest}\:{positive}\:{number} \\ $$$${which}\:{must}\:{be}\:{added}. \\ $$

Commented by Tawa11 last updated on 17/Jun/24

$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$$$\mathrm{I}\:\mathrm{appreciate}. \\ $$

Answered by A5T last updated on 17/Jun/24

$$\overset{\mathrm{11}} {\equiv}−\mathrm{9}+\mathrm{4}−\mathrm{5}+\mathrm{4}−\mathrm{3}+\mathrm{5}−\mathrm{1}+\mathrm{6}−\mathrm{2}+\mathrm{6}\overset{\mathrm{11}} {\equiv}\mathrm{5}=\mathrm{11}−\mathrm{6} \\ $$$$\Rightarrow\mathrm{6}\:{is}\:{the}\:{smallest}\:{positive}\:{number}\:{to}\:{add} \\ $$

Commented by Tawa11 last updated on 17/Jun/24

$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$$$\mathrm{I}\:\mathrm{appreciate}. \\ $$

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