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When a four-digit number and the sum of its digits are added, the resulting number is 2019. Find all possible such four-digit numbers.HELP PLS

Sagot :

Answer:

1995

Step-by-step explanation:

1995+1+9+9+5 = 2019

The two four-digit numbers are 1995 and 2013

Four digits numbers are of the form:

1000a + 100b + 10c  + d

To find the number that adds to the sum of its digits to give 2019, we need to test all possibilities.

A possibility is 2013

Sum of digits in 2013 = 2 + 0 + 1 + 3

Sum of digits in 2013 = 6

Addition of 2013 and the sum of its digits = 2013 + 6

Addition of 2013 and the sum of its digits = 2019

Another possibility is 1995

Sum of digits in 1995 = 1 + 9 + 9 + 5

Sum of digits in 1995 = 24

Addition of 1995 and the sum of its digits = 1995 + 24

Addition of 1995 and the sum of its digits = 2019

Therefore, the two four-digit numbers are 1995 and 2013

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