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