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Sunday Times Teaser 2640 – Megan’s Number

by Graham Smithers

The digits 0 to 9 are written on ten individual cards.

Megan forms her number using three cards, Beth forms hers from some of the remaining cards and, finally, Jan uses some or all of those left to form her number.

If Megan multiplies her number by its last digit, she obtains Beth’s number; if she multiplies it by its first digit, she obtains Jan’s number.

Who has the largest number and what is it?

4 Comments Leave one →
  1. brian gladman permalink

  2. ahmet cetinbudaklar permalink

    Megan cannot have 0,1,5,6,7,9 as first digit nor 0,1,5,6 as last digit which leaves us with fewer possibilities to start with.

  3. Ogee permalink

    No program is needed, I did it in my head.

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