✔ 最佳答案
A:B = B:C = 3:5
A:B = 3:5
B:C = 3:5
A:B = 3:5 = 3x3 : 5x3 = 9:15............(1)
B:C = 3:5 = 3x5 : 5x5 = 15:25............(2)
Subsitute (2) into (1),
A:B:C = 9:15:25
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2a=5b=4c
i.e. 2a = 5b............(3)
and 2a = 4c............(4)
From (4):
2a = 4c
a = 2c
a:c = 2:1
a:c = 2x5 : 1x5 = 10:5............(5)
From (3):
2a = 5b
a:b = 5:2
a:b = 5x2 : 2x2 = 10:4............(6)
Subsitute (5) into (6),
a:b:c = 10:4:5