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?