A problem by Prasad Nikam

Level pending

Teacher wrote 10 - digit no. on the board and asked his students to subtract the sum of the digits of the no.Student perform subtraction but accidentally erased 1 digit.Remaining digits were 1,2,3,3,6,6,8,8 and 9.Number erased by Student is - ( REMAINING DIGITS MAY NOT BE IN THE SAME SEQUENCE AS IT IS IN THE QUESTION.)


The answer is 8.

Prasad Nikam by Prasad Nikam , 21, India

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1 solution

Nitish Dubey
Jan 22, 2014
  • Any Number which is, Difference of The Sum of Digits of a Number and The Number Itself is a multiple of 9. (Proved below.)
  • Now let the missing No. is x.
  • Sum of all the Digits of the Number obtained after taking the difference(1,2,3,3,6,6,8,8,9,x) = 46+x.
  • It must be a Multiple of 9. Which can be done by adding 8 in 46 i.e, 54 (multiple of 9).
  • Hence value of x=8. Which is the no. ERASED.
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