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Question

If 7 : 9 = 14 : 18 ,then 16 : 9 = __________.

A
9 : 16
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B
7 : 9
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C
18 : 32
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D
32 : 18
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Solution

The correct option is D 32 : 18
According to componendo property of proportion
if a : b = c : d ,then a + b : b = c + d : d.
Here 7 : 9 = 14 : 18 (given)
(7 + 9) : 9 = (14 + 18) :18
16:9 = 32 : 18
Hence 16:9 = 32: 18

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