King
  • King
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
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
338525
King
  • King
how?
anonymous
  • anonymous
x = 8 y = 5

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anonymous
  • anonymous
see as it is divisible by 275 means y will be either 5 or, 0
King
  • King
yeah kk
anonymous
  • anonymous
and 275 = 5*5*11
King
  • King
yes
anonymous
  • anonymous
that is the resultant should be divisible by 11
King
  • King
yeah
anonymous
  • anonymous
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
anonymous
  • anonymous
sum of odd place digits is 5+x and sum of even place digit is 3 +2y
anonymous
  • anonymous
Difference is (5+x) - (3+2y) it should be either 0 / 11/ multiple of 11
anonymous
  • anonymous
difference is 2 + x - 2y
King
  • King
yes
anonymous
  • anonymous
y can be either 0 or, 5
anonymous
  • anonymous
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
King
  • King
possible 339020
King
  • King
x=9 y=0
anonymous
  • anonymous
so when y = 5 then we have 2 + x - 2*5 = 2 + x -10 = -8 + x
anonymous
  • anonymous
yes but then it is not divisible by 275
anonymous
  • anonymous
if x = 9 in that case it is not divisible by 275
King
  • King
oh
anonymous
  • anonymous
so it cannot be 9
anonymous
  • anonymous
now we got -8 + x for what value of x u will have either 0 / 11 / multiple of 11
King
  • King
ok thnx u always make me understand thnx a lot...............!!!!!!!!
anonymous
  • anonymous
so got the point how many rules u have to apply.........
King
  • King
yeah
anonymous
  • anonymous
another thing that u can do is use short cut that is calculator......hahaha satisfied with the answer
King
  • King
yup 100% satisfied
anonymous
  • anonymous
hey actually u tried to understand the thing other pplare just interested in answers not in the procedure so i gave u a medal

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