# Sunday Times Teaser 2908 – Number Challenge

*by Graham Smithers*

#### Published June 17 2018 (link)

I challenged Charlotte and Oliver to find a 9-digit number, using nine different digits, so that

• The number given by the 1st and 2nd digits was divisible by 2.

• The number given by the 2nd and 3rd digits was divisible by 3

And so on until

• The number given by the 8th and 9th digits was divisible by 9.

They each produced a different, correct solution.

Charlotte claimed hers was the better solution since in her number, the number formed by the first seven digits was also divisible by 7, Charlotte’s age.

What was Charlotte’s number?

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Erling Torkildsen’s GeoGebra model is here.