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Which bus?

By David, 13 June 2018 Brainteaser

I caught a bus the other day with a very interesting number. Can you work out the number on the bus?

  • It has four digits
  • It’s less than 2000
  • Its digits add up to 10
  • If you reverse its digits, you get the same number (it’s a palindrome)


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Brainteaser answer

The bus I caught was number 1441.
Here’s one way to work it out:

  • If it has four digits and it’s less than 2000, the first digit must be a 1.
  • Since it’s the same forwards and backwards, the last digit must also be 1.
  • Since all the digits together make 10, the middle two digits must add to eight.
  • Since the number is the same forwards and backwards, the two middle digits must be the same, so they must both be 4.

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