## Teaser 2967: Odds and evens

**From The Sunday Times, 4th August 2019** [link]

I have done a “long multiplication”, which is reproduced above. [If the multiplication was

ABC×DE, then the third line shows the result ofABC×Eand the fourth line shows the result ofABC×D]. However instead of writing the actual digits involved, I have written “O” where there is an odd digit and “E” where there is an even digit.What is the result of the multiplication?

[teaser2967]

## Jim Randell 5:59 pm

on2 August 2019 Permalink |(See also:

Enigma 1242,Enigma 1721,Enigma 109,Enigma 1503).We can use the [[

`SubstitutedExpression()`

]] solver from theenigma.pylibrary to solve this.The following run file executes in 140ms.

Run:[ @repl.it ]Solution:The result of the multiplication sum is 9744.The full sum is:

LikeLike

## GeoffR 8:45 am

on5 August 2019 Permalink |LikeLike