Question

In each of the following numbers, replace * by the smallest digit to make it divisible by 11 (ii) 230*75 ​

Answer 1

Answer:

1

Step-by-step explanation:

Condition for a number to be divisible by 11 :

The difference between the the sum of the numbers in odd digits and the sum of the numbers in even digits is a number divisible by 11.

In the number 230*75, let the number at the position of * be x.

So according to the condition, (2+0+7)-(3+x+5) should be a number divisible by 11.

So (2+0+7)-(3+x+5) = 9-(8+x) = 1-x

The difference should not be negative, so adjust it into x-1

For x=1, x-1 becomes 0. So your value for * is 1.

Verify: The number we got is 230175

Now, 230175 / 11 is equal to 20925. Therefore , hence proved