Question

find the greatest possible length of the rope that can be used to measure to sticks of length 24m and 18 m.​

Answer 1

Answer: 6 m

Step-by-step explanation:

Find the hcf of 24 and 18

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Answer 2

Answer:

★ 72 meter ★

Step-by-step explanation:

Given:

• Length of sticks is 24 m and 18 m

To Find:

• Length of the rope that can can be used to measure sticks

Solution: To find the greatest possible length of the rope we have to find the LCM of 24 and 18

★ Prime Factorisation of 24 = 2 x 2 x 2 x 3 ★

★ Prime Factorisation of 18 = 2 x 3 x 3 ★

• LCM = 2 x 2 x 3 x 2 x 3 = 24 x 3 = 72 m

Hence, The greatest possible length of length can be 72 m