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Kate1127
@Kate1127
August 2022
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Поділіть число 92 на три частини x, y та z так, щоб x:y=(1/3):4, а y:z=6:5.
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25hjoerf10
Х + y + z = 92
x : y = (1/3) : 4 = 1 : 12; =>, что
y = 12х
.
y : z = 6 : 5; =>, что z = 5у/6 или
z = 5*12х/6 = 10х.
х + 12х + 10х = 92
23х = 92
х = 92 : 23
х = 4
у = 12 * 4 = 48
z = 10 * 4 = 40
Ответ:
х = 4; у = 48; z = 40.
18 votes
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Answers & Comments
x : y = (1/3) : 4 = 1 : 12; =>, что y = 12х.
y : z = 6 : 5; =>, что z = 5у/6 или z = 5*12х/6 = 10х.
х + 12х + 10х = 92
23х = 92
х = 92 : 23
х = 4
у = 12 * 4 = 48
z = 10 * 4 = 40
Ответ: х = 4; у = 48; z = 40.