Asked by prarthna
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
Answers
Answered by
Reiny
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
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
Answered by
Anonymous
Super 💖💖😘💖😘💖
Answered by
Divyanshu Anand
This is a very big plateform for asking any suestuon.
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