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History of Hindu Mathematics: A Source Book v2.c17.s20.11

History of Hindu Mathematics: A Source Book v2.c17.s20.11

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v2.c17.s20.11

Let the numbers be x, 2x, 3x, 4x, says Bhâskara II. That is, suppose y = 2x, z = 3x, w = 4x in the above equations. Then by (1) we get $10x = 30x².$ $∴ x = ⅓.$ Hence x, y, z, w = ⅓, ⅔, 3/3, 4/3, is a solution of (1).