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the sum of the digits of a three-digit number is 26. the number is multiplied by 7 , then by 11 , and finally by 13. how many times will the digit 9 occur in the final product?

Respuesta :

1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

  1. Any 02 digit number multiplied by 101 will result. For Example:

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

Learn more about Multiplier:

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