Question

Wendy randomly chooses a positive integer less than or equal to 2020. The probability that the digits in Wendy's number add up to 10 is m/n, where m and n are relatively prime positive integers. Find m+n.

Answer 1

107

Explanation:

Probability = numbers that add up to 10 / total of numbers

There are 120 positive integers between 1 - 2020 that add up to 10.

120 / 2020

convert to its simplest form by dividing by 20

6 / 101

m + N = 101 + 6 = 107