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?](https://www.tinkutara.com/question/Q208506.png)
What is the smallest number which must
added to 9454351626 so that it will become
divisible by 11?
added to 9454351626 so that it will become
divisible by 11?
Answered by mr W last updated on 17/Jun/24
![9454351626=859486511×11+5 ⇒6 is the smallest positive number which must be added.](https://www.tinkutara.com/question/Q208510.png)
$$\mathrm{9454351626}=\mathrm{859486511}×\mathrm{11}+\mathrm{5} \\ $$$$\Rightarrow\mathrm{6}\:{is}\:{the}\:{smallest}\:{positive}\:{number} \\ $$$${which}\:{must}\:{be}\:{added}. \\ $$
Commented by Tawa11 last updated on 17/Jun/24
![Thanks sir. I appreciate.](https://www.tinkutara.com/question/Q208511.png)
$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$$$\mathrm{I}\:\mathrm{appreciate}. \\ $$
Answered by A5T last updated on 17/Jun/24
![≡^(11) −9+4−5+4−3+5−1+6−2+6≡^(11) 5=11−6 ⇒6 is the smallest positive number to add](https://www.tinkutara.com/question/Q208512.png)
$$\overset{\mathrm{11}} {\equiv}−\mathrm{9}+\mathrm{4}−\mathrm{5}+\mathrm{4}−\mathrm{3}+\mathrm{5}−\mathrm{1}+\mathrm{6}−\mathrm{2}+\mathrm{6}\overset{\mathrm{11}} {\equiv}\mathrm{5}=\mathrm{11}−\mathrm{6} \\ $$$$\Rightarrow\mathrm{6}\:{is}\:{the}\:{smallest}\:{positive}\:{number}\:{to}\:{add} \\ $$
Commented by Tawa11 last updated on 17/Jun/24
![Thanks sir. I appreciate.](https://www.tinkutara.com/question/Q208517.png)
$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$$$\mathrm{I}\:\mathrm{appreciate}. \\ $$