## King 4 years ago Help............in the decimal number 33xy2y ,x and y represent digits. If the number is divisible by 275 find x. Help............in the decimal number 33xy2y ,x and y represent digits. If the number is divisible by 275 find x. @Mathematics

1. sheg

338525

2. King

how?

3. sheg

x = 8 y = 5

4. sheg

see as it is divisible by 275 means y will be either 5 or, 0

5. King

yeah kk

6. sheg

and 275 = 5*5*11

7. King

yes

8. sheg

that is the resultant should be divisible by 11

9. King

yeah

10. sheg

thus the 33xy2y should be divisible by 11. That is the difference of sum of digits at odd place with the sum of digits at even places should be either 0 or, 11, or, multiple of 11

11. sheg

sum of odd place digits is 5+x and sum of even place digit is 3 +2y

12. sheg

Difference is (5+x) - (3+2y) it should be either 0 / 11/ multiple of 11

13. sheg

difference is 2 + x - 2y

14. King

yes

15. sheg

y can be either 0 or, 5

16. sheg

when y = 0 therefore we have 2 + x (it should be 0 / 11 / multiple of 11) but in no case it is possible so Y cannot be 0

17. King

possible 339020

18. King

x=9 y=0

19. sheg

so when y = 5 then we have 2 + x - 2*5 = 2 + x -10 = -8 + x

20. sheg

yes but then it is not divisible by 275

21. sheg

if x = 9 in that case it is not divisible by 275

22. King

oh

23. sheg

so it cannot be 9

24. sheg

now we got -8 + x for what value of x u will have either 0 / 11 / multiple of 11

25. King

ok thnx u always make me understand thnx a lot...............!!!!!!!!

26. sheg

so got the point how many rules u have to apply.........

27. King

yeah

28. sheg

another thing that u can do is use short cut that is calculator......hahaha satisfied with the answer

29. King

yup 100% satisfied

30. sheg

hey actually u tried to understand the thing other pplare just interested in answers not in the procedure so i gave u a medal