Since you have an error in your conditions (the sum of the remaining numerals after 4 round-offs in your answer is NOT 24 as you stipulate--yours is 23) and with only 8 round-offs starting with rounding up, the last round-off has to be down, your answer is incorrect. I believe my answer is, therefore, equally valid. My 9-digit number is: 546372819
First rounding (up) yields: 546372820
2nd rounding (dn) yields: 546372800
3rd rounding (up) yields: 546373000
4th rounding (dn):546370000
5th rounding (up): 546400000
6th rounding (dn): 546000000
7th rounding (up): 550000000
8th rounding (dn): 500000000
Thanks for the challenge.
Linda, the Puzzlerz
as already mentioned above by savagegamer90 and Boiling Oil ... the sum of the remaining numerals after 4 round-offs is indeed 24
after 1st rounding - 473816950
after 2nd rounding - 473817000
after 3rd rounding - 473817000
after 4th rounding - 473820000
so 4+7+3+8+2=24




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