what is the sum of the digits of the largest even 3 digit number which is not changed when its units and hundreds digit are interchanged

3 answers

let the unit digit be x
let the middle digit be k
let the hundred digit be y

the original number
= 100y + 10k + x
the number reversed
= 100x + 10k + y

so 100x + 10k + y = 100y + 10k + x
99x = 99y
x = y
We sort of knew that
so it doesn't matter what we put in the middle to make it as large as possible, put in 9
but the unit digit must be even

so our number is 898
and the sum of the digits is 25
Super 💖💖😘💖😘💖
This is a very big plateform for asking any suestuon.