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Question 47
Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. If $$324 \times 289 = 35$$, $$441 \times 484 = 43,625 \times 400 = 45,$$ find the value of $$256 \times 729.$$
Solution
Given system follows a pattern described as below:
$$18^{2} \times 17^{2} = (18+17) = 35$$
$$21^{2} \times 22^{2} = (21+22) = 43$$
$$25^{2} \times 20^{2} = (25+20) = 45$$
Hence for $$256 \times 729 = 16^{2} \times 27^{2} = (16+27) = 43$$
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