Advertisement Remove all ads

If X Denotes the Digit at Hundreds Place of the Number 67 X 19 Such that the Number is Divisible by 11. Find All Possible Values of X. - Mathematics

Sum

If x denotes the digit at hundreds place of the number \[\overline{{67x19}}\] such that the number is divisible by 11. Find all possible values of x.

Advertisement Remove all ads

Solution

A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
\[\text{ Sum of digits at odd places - Sum of digits at even places }\]
\[ = (6 + x + 9) - (7 + 1)\]
\[ = (15 + x) - 8 = x + 7\]
\[ \therefore x + 7 = 11\]
\[ \Rightarrow x = 4\]

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 8 Maths
Chapter 5 Playing with Numbers
Exercise 5.2 | Q 7 | Page 20
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×