The sum of the digits of a 2-digit number is subtracted from the number. The resulting number has the units digit of 6. Which numbers have this property?


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Answer:

All numbers from 40 to 49

Step by Step Explanation:
  1. According to the question, the sum of the digits of a 2-digit number is subtracted from the number. The resulting number has the units digit of 6.
  2. Let us assume the number 40 has that property.
    Now, the sum of the digits of number 40 = 4 + 0 = 4
    Subtracting the sum of the digits of number 40 from 40
    40 - 4 = 36
    Similarly, subtracting the sum of the digits of number 41 from 41
    41 - 5 = 36
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Similarly, we can say that subtracting the sum of the digits of all numbers from 40 to 49 have units digit 6.
  3. Therefore, all the numbers from 40 to 49 have this property.

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