467*91 replace * by the smallest number to make it divisible by 11 ?
Answers
Answer:
here your answer....
2
Step-by-step explanation:
according to 11 divisibility rule
the difference between the sum odd places of numbers to sum even places of numbers is equal to zero or divisible by 11
so
the given number
467*91
sum of odd places 4+7+9=20
lly even places 6+*+1=*+7
here*=2
then 2+7=9(sum of even places)
then 20-9=11 this is divisible by 11
therefore answer is 2
* is replaced by 2.
Given,
467*91 is divisible by 11.
To Find,
The smallest number that can replace *.
Solution,
We know that,
The divisibility rule for 11 is the difference between the sum of odd places of numbers to the sum of even places of numbers is equal to zero or divisible by 11.
⇒ Sum of odd places - Sum of even places = 11
⇒ (4 + 7 + 9) - (6 + * + 7) = 11
⇒ 20 - (* + 7) = 11
⇒ 13 - * = 11
⇒ * = 2
Therefore, * is replaced by 2.
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