Sunday Times Teaser 3320 – Penblwydd Hapus
by Howard Williams
Published Sunday May 10 2026 (link)
I’m now in my thirties and for many years I’ve treated myself to some bottles of beer on my birthday. To compensate for my increasing age, I buy the same number of bottles each year as my age. On my recent birthday, after storing my bottles, I noticed that, on the beer receipt from the supermarket, all of the nine digits 1 to 9 appeared once, and only once, in the number of bottles, the price per bottle in pence and the total cost in pence.
What was the total cost of the beer in pence?
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BRG permalink12345678910# consider the number of bottlesfor bottles in range(30, 40):# consider the price per bottle in pencefor price in range(1, 400):dgts = str(bottles) + str(price) + str((cost := bottles * price))nzd = ''.join(d for d in dgts if d != '0')if len(nzd) == len(set(nzd)) == 9:print(f"Total {cost = }p ({bottles = } {price = }p)")
