perplexus.info :: Just Math : The hundreds' digit

The hundreds' digit (Posted on 2016-02-22)

For the four-digit number ABCD (a string, not a product), where A,B,C, and D all represent distinct digits, find the value of B, given ABCD rounded to the nearest hundred is CD00.

See The Solution Submitted by Ady TZIDON

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Puzzle Solution

Comment 3 of 3 |

A>0, C>1, B=9, D=0

The valid situations are:

Rounded to the nearest

Number (ABCD) hundred (CD00)

4950 5000

5960 6000

6970 7000

7980 8000

3940 4000

2930 3000

1920 2000

Of course, the usual cryptarithmetic rule of no leading zero is assumed,

Edited on May 13, 2022, 12:32 pm

Posted by K Sengupta on 2022-05-13 12:29:21

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