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Question

A line is divided into three parts. The first part is two third the length of the second part. The third part is 12cm shorter than the first part and 2 cm shorter than the second part. Find the length of the line?

A
12 cm
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B
10 cm
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C
9 cm
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D
8 cm
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Solution

The correct option is B 10 cm

Let the length of the parts be x,y,z
As per the question,
x=23y ....... (1)

z=x12 and z=y2

So, x12=y2
2y=2x+3 ....... (2)
From (1) and (2)
2y=2×23y+3
y=92
x=23×92=3
z=y2=922=52
So, the length of wire is =92+3+52=10 cm

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