I am a 3-digit number that is even. My hundreds and ones digits are the same and have a sum of 8. My tens digit is 2 less than my ones digit. What number am I ?
Let's start off with some key terms.
The number has 3 digits.
Even numbers end with 0, 2, 4, 6, or 8. (Obviously)
The hundreds digit and ones digit are the same.
First number in a 3 digit number is the hundreds, and the last number is the ones.
So, both of those two digits are the same and has to equal 8.
Well, \(4+4=8\)
The hundreds place and the ones place are 4.
The tens digit is the middle number in a 3-digit number.
It is two numbers less than the ones digit.
\(4-2=2\)
The number is 424.
\(\bowtie\)