A red color thread is 37 cm long. It is cut into 3 pieces. The longest piece is 3 times as long as t

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23 Jul 2020 Mensuration

A red color thread is 37 cm long. It is cut into 3 pieces. The longest piece is 3 times as long as the middle-sized piece & the shortest piece is 19 cm shorter than the longest piece. Find the length of the shortest piece
(in cm).

OPtion

1) 2
2) 3
3) 6
4) 9
5) 8
6) 5
7) 10
8) 12
9) 4
10) None of these

Solution

Let the middle be x CM

Longest piece = 3x cm
Smallest piece = 3x - 19

x+3x+3x-19 = 37
7x = 56
x= 8
shortest piece = 3*8-19 = 5 cm

Correct Option: 6 Best Solution (5)