# 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 →

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.