Question

the lengthbof two rods is 7m 50 cm & 10m 50cm respectively Find the length of the longest tape that can measure these lengths exactly

Answer 1

Given: The length of two rods 7m 50 cm & 10m 50cm

To find: The length of the longest tape that can measure these lengths exactly.

Solution:

• Now we have given the length of two rods.

                  7 m 50 cm & 10 m 50 cm

• Converting it to cm, we get:

                  700 + 50 cm and 1000 + 50 cm

                  750 cm and 1050 cm

• Now the factors of these numbers are:

                  750 = 2 x 3 x 5 x 5 x 5

                  1050 = 2 x 3 x 5 x 5 x 7

• Now the Highest Common factor is: 2 x 3 x 5 x 5 = 150

• So the longest tape will be of 150 cm

Answer:

           So the longest tape that can measure these lengths exactly is 150 cm.

Answer 2

Answer:

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