We call a number peachy if every digit in the number is either a 3 or next to a 3 For example, the numbers 333, 83, 303 and 3773 are all peachy, but the numbers 32523, 786, 340 and 3999 are not peachy.

How many positive **2** digit numbers are peachy?

Guest Feb 22, 2021

#1**0 **

Here's a hint: count all the numbers that are *not* peachy then subtract from all the 2 digit numbers.

CubeyThePenguin Feb 22, 2021

#2**+1 **

Here is a massive hint!

Any 2-digit number with a 3 is peachy (and all peachy numbers have at least one 3). There are nine 2-digit numbers with ones digit 3, and there are nine additional 2-digit numbers with tens digit 3 (except from 33, which we've already counted, since its ones digits is 3). Therefore, there are . . .

AnxiousLlama Feb 22, 2021