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?
Answer:
All numbers from 40 to 49
- 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.
- 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 = 36Similarly, subtracting the sum of the digits of number 41 from 41
41 - 5 = 36 . . . . Similarly, we can say that subtracting the sum of the digits of all numbers from 40 to 49 have units digit 6. - Therefore, all the numbers from 40 to 49 have this property.