Question

A box of length 67.2cm is divided into 5 pieces
find the length of each piece​

Answer 1

Step-by-step explanation:

ANSWER

The length = 60cm or 600 mm

Let n be the number of parts.

Hence length of each part =

n

600

mm

When length of each part is reduced by 1 mm, the new length of each part =

n

600

−1mm

When number of parts is increased by unity, the resulting number of parts = (n + 1)

∴(

n

600

−1)(n+1)=600

⇒

n

600

(n+1)−(n+1)=600

Multiply by n

600(n+1)−n(n+1)=600n

i.e. 600n+600−n

2

−n=600n

i.e., n

2

+n−600=0

⇒n

2

+25n−24n−600=0

i.e., n(n+25)−24(n+25)=0

i.e., (n−24)(n+25)

∴n=24 or n=−25 (in admissicible since n cannot be negative.)

∴ number of parts =24

Answer 2

Answer:

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