Question

A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece(in cm) ?

Answer 1

Length shortest piece(in cm) is 4cm.

Answer 2

Answer:

shortest piece is 4 cm

Step-by-step explanation:

consider the length of middle piece as X

longest piece is 3 times middle piece = 3 X

shortest piece =3 X - 23 cm

total length of string = longest piece + middle piece + shortest piece

40 cm= 3 X + X +3 X - 23

40 cm =7 X - 23

40 cm + 23 cm = 7 X

63 cm = 7 X

X = 63/7

X = 9 cm

middle piece = X = 9 cm

longest piece = 3 X = 3×9=27 cm

shortest piece = 3 X-23 = 27-23 = 4 cm

check

9+27+4=40

40=40

hence checked