Question

Write a digit in the blank space of each of the following numbers so that the numbers formed is divisible by 869484 is divisible by 9 and 11

Answer 1

Answer:

Let a be placed in the blank.

Sum of the digits at odd places = 4 + 4 + a = 8+a

Sum of the digit at even places = 8 + 9 + 8 = 25

Difference = 25 - (8-a) = 17 - a

For a no. to be divisible by 11, this difference should be zero or a multiple of 11.

If 17 - a = 0

then, a = 17

This is not possible.

A multiple of 11 has to be taken..taking 11 we obtain 

17 - a = 11

a = 6

Therefore the required digit is 6..

Step-by-step explanation: