Sunday Times Teaser 3026 – Party Time
by Graham Smithers
Published Sunday September 20 2020 (link)
A four-digit number with different positive digits and with the number represented by its last two digits a multiple of the number represented by its first two digits, is called a PAR.
A pair of PARs is a PARTY if no digit is repeated and each PAR is a multiple of the missing positive digit.
I wrote down a PAR and challenged Sam to use it to make a PARTY. He was successful.
I then challenged Beth to use my PAR and the digits in Sam’s PAR to make a different PARTY. She too was successful.
What was my PAR?