Damon was bing(e)ing on Curios yesterday, learning crazy new things. When he was done, he counted the number of Curios he listened to, read, and watched. The nerd he is, he realized that the number was the smallest natural (positive, whole) number that is equal to 7 times the sum of its digits.
What was the number?
Ready for the answer?
We didn't say how many digits the number had, but clearly, it wasn't a single digit. So let's use our trusty friend algebra with a 2-digit number. We can write the problem out (and solve it) like this:
10a + b = 7(a + b)Since we're looking for the smallest number, a = 1 so b = 2. And that means that Damon binged on 21 Curios yesterday.
10a + b = 7a + 7b
3a = 6b
a = 2b