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The answer is 9.
Aside from zero (0x0 = 0), the first 6 squares of integers are 1, 4, 9, 16, 25, and 36. 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36
If the smallest number is x, the the largest one is 25 - x. So we have: (2/3)x = 2 + (1/4)(25 - x) 2x/3 = 2 + 25/4 - x/4 multiply both sides by 12, the common denominator; 8x = 24 + 75 - 3x add 3x to both sides; 11x = 99 divide by 11 to both sides; x = 9 So the smallest number is 9, and the largest number is 16 (25 - 9)
If the order of choice does not matter, the expression is 25 X 24 X 23 X 22 X 21 X 20 X 19 X 18 X 17, which can also be written as 25!/16!.
x = + or - 9 x/9 = 9/x x squared = 81 x = +/- 9