Question
In the following numbers. replace * by the smallest number to make it divisible by 11:
86 * 72
86 * 72
✓
Answer
Rule: A number is divisible by 11 if the difference of the sums of the alternate digits is either 0 or a multiple of 11.
86 × 72
Sum of the digits at the odd places = 8 + missing number + 2 = missing number + 10
Sum of the digits at the even places = 6 + 7 = 13
Difference = [missing number + 10 ] - 13 = Missing number – 3
According to the rule, missing number - 3 = 0 [Because the missing number is a single digit]
Thus, missing number = 3
Hence, the smallest required number is 3.
86 × 72
Sum of the digits at the odd places = 8 + missing number + 2 = missing number + 10
Sum of the digits at the even places = 6 + 7 = 13
Difference = [missing number + 10 ] - 13 = Missing number – 3
According to the rule, missing number - 3 = 0 [Because the missing number is a single digit]
Thus, missing number = 3
Hence, the smallest required number is 3.
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