This is a multi-step arithmetic word problem requiring sequential computation: first finding the sum of two numbers from given square/cube values, then finding the larger number from another given relation, deriving the smaller number by subtraction, and finally computing a specified combination of percentages and fractions of the two numbers.
The sum of the two numbers equals the square of 11 plus the cube of 9: 11^2 + 9^3 = 121 + 729 = 850....
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