Question

Find all the integers which are equal 11 times the sum of their digits

Answer 1

Answer:

Step-by-step explanation:

Given  

Find all the integers which are equal 11 times the sum of their digits

Given sum of their digits is positive.

Now 0 can be taken since 11 x 0 = 0

Also we need to find the multiples of 11. Let it be 198 since 11 (1 + 9 + 8) = 11 x 18 = 198

The greatest possible sum of a four digit number is 36 and 11 x 36 = 396

So numbers are always larger than 11 x (sum of digits) for all numbers greater than 199.

So numbers are 0 and 198.