Question

Three pieces of strings, of lengths, 180 cm, 216 cm and 90 cm are to be cut into equal lengths. What is the greatest possible length of each piece?

Answer 1

Answer:

Let the length of middle piece = x

Then length of longest piece = 3x

Then length of shortest piece = 3x−46

Thus, x+3x+3x−46=80

⇒7x=126

⇒x=18

Hence, shortest piece = 18×3−46=54−46=8 cm