Math, asked by scorpionneeds1, 1 year ago

467*91 replace * by the smallest number to make it divisible by 11 ?​

Answers

Answered by Anonymous
69

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

Answered by SaurabhJacob
3

* 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.

#SPJ3

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