The means of a proportion are 21 and 33. List all possible pairs of positive integers that could be the extremes of the true proportion

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Mathematics

Dorian Powell

3 December, 03:38

The means of a proportion are 21 and 33. List all possible pairs of positive integers that could be the extremes of the true proportion

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Adolfo Garner · Answer 1

X/21 = y/33

xy = 21·33 = 693

The factors of 693 are 1,3,7,9,11,21,33,63,77,99,231,693.

(x, y) = (1,693), (693,1), (3,231), (231,3), (7,99), (99,7), (9,77), (77,9), (11,63), (63,11), (21,33), (33,21)