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Sunday Times Teaser 2645 – One Square

by Andrew Skidmore

After consistently using different letters for different digits I have found that (FIVE – FOUR) squared is equal to ONE.

You could work out the numeric value of FIVE if you knew whether THREE is divisible by 3 and whether FOUR is divisible by 4.

What number does FIVE represent?

2 Comments Leave one →
  1. brian gladman permalink

    There is an ambiguity in the puzzle since it is unclear whether FIVE has to be larger than FOUR. The following program allows either choice to be made.

  2. ahmet cetinbudaklar permalink

    (FIVE-FOUR)^2=ONE=196 , 256 , 361 , 576 , 625 , 841 , 961

    (FIVE-FOUR)= 14 , 16 , 19 , 24 , 25 , 29 , 31

    E-R=1-0 , 1-2 , 5-0 , 6-0 , 6-2 giving us the following solutions:

    ONE FOUR FIVE THREE

    361 5382 5401 79211/97211
    361 7382 7401 59211/95211
    361 9382 9401 57211/75211

    625 3690 3715 48055/84055
    625 4690 4715 38055/83055
    625 8390 8415 47055/74055

    841 3872 3901 56211/65211
    841 5872 5901 36211/63211
    841 6872 6901 35211/53211

    one of which gives us the solution.

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