Question

Determine the smallest whole number which can be added to 735 so that the resulting number is exactly divisible by 11.

Answer 1

Given :  number to be added to 735 so that the resulting number is exactly divisible by 11.

To find : Smallest whole number

Solution:

Let say n is the whole number to be added to 735 so that it is Divisible by 11

735 + n  =  11a

=> 726  + 9 +  n  = 11a

=> 66 * 11 + 9 + n = 11a

=> n + 9  =  11(a - 66)

n + 9 should be 11   so that it exactly divisible by 11

Hence n + 9 =11

=> n = 2

2 is the whole number to be added to 735 so that resultant in Divisible by 11

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