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Ответ

Ответ дан
Loudon
Введём дополнительное неизвестное а, такое, что верно: x = 5a
Тогда верно и: y = 6/5 * x = 6a
z = 10/9 * y = 20/3a
И теперь запишем число как сумму:
159 = х +у + z = 5a + 6a + 20/3a = (15/3+18/3+20/3)а = 53/3а
а = 159/ (53/3) = 9
Отсюда х = 5*9 = 45
у = 6*9 = 54
z = 20/3*9 = 60

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