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The numbers 182 and 322 can be expressed as the sum of product pairs chosen from the numbers 1 to 12.
182 = 1x12 + 2x11 + 3x10 + 4x9 + 5x8 + 6x7
322 = 1x2 + 3x4 + 5x6 + 7x8 + 9x10 + 11x12
Can the numbers 180, 217, 299, 400 be written the same way?
182 = 1x12 + 2x11 + 3x10 + 4x9 + 5x8 + 6x7
322 = 1x2 + 3x4 + 5x6 + 7x8 + 9x10 + 11x12
Can the numbers 180, 217, 299, 400 be written the same way?
Answer
182 is the smallest number that can be written that way. 322 is the largest number that can be written that way.Therefore,
180 - no, it can not be written that way
217 = 1x12 + 2x5 + 3x9 + 4x8 + 6x11 + 7x10
299 = 1x2 + 3x6 + 4x8 + 5x9 + 7x10 + 11x12
400 - no, it can not be written that way
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Clearer please! The sum of six products from pairings all integers from 1 to 12?
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