$U$, $V$, $C$ are distinct digits, varying from 1 to 9.

$U$ > $V$ > $C$

$UVC$, $VCU$, $CUV$ are concatenated Numbers

$(UVC)*(VCU)*(CUV)$ = $234235286$

The digits on the right hand side are mixed up except 6 in the units place.

By deducing the digits $U$, $V$,$C$ , please restore the correct number on the right hand side.

  • $\begingroup$ I will wait at least few hours to comment on any answer to see who has best outline of the logical path to final deduction. $\endgroup$ – Uvc Jul 9 '19 at 11:27

By trial and error:

983 x 839 x 398 = 328245326 -> 234235286
I tried few combinations and found that - it can't be with 1, 5, 6 and 7
5 because number would end with 0 or 5
1 because at least one number would be 1 (199*999*999 starts with 1)
6 (and 7) because it needs another 6 to end with 6 = 2 x 3 or 3 x 7 and it is not correct number combination. Also numbers can't have sum divisible by 3


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.