If the number 25x7039 is divisible by 11, Find the value of x?
10000001, 459756
To check the divisibility of a number by 11, we find the difference between the sum of the digits at odd place (from the right) and the sum of the digits at even place (from the right) of the number.
For 25x7039,
Sum of digits at odd places = 9 + 0 + x + 2 = 11 + x
Sum of digits at even places = 3 + 7 + 5 = 15
Since it is divisible by 11,
Sum of digits at odd places = Sum of digits at even places
11 + x = 15
x = 4
Therefore the number is 2547039