perplexus.info :: Numbers : What is OCTOBER?

What is OCTOBER? (Posted on 2024-08-14)

The letters represent a different base ten digit from 0 to 9. None of the numbers can denote a leading zero.
Given that:
O+CTO = BER, and:
OCTOBER is divisible by both 3 and 7.

What is the value of OCTOBER?

No Solution Yet Submitted by K Sengupta

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Analytic solution

Comment 2 of 2 |

B = C+1

T = 9

E = 0

O = {6,7,8} R = {2,4,6}

mod 3, T,E both 0;

mod 3 B+C can by any; O+O+R: any but complement

B C mod O,R

2 1 0 7,4 7197204 0 mod 7

3 2 2 8,6 8298306 2 mod 7

4 3 1 6,2 6396402 5 mod 7

5 4 0 7,4 reject

6 5 2 8,6 reject

7 6 1 6,2 reject

8 7 0 7,4 reject

7197204 works.

7 + 197 = 204

7197204/3 = 2399068

7197204/7 = 1028172

Posted by Larry on 2024-08-14 08:28:02

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