Question

three rods measuring 25cm, 40cm and 60cm are used to measure cloth. what is minimum length of the cloth they can measure completly
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Answer 1

Answer:

hcf of 25 40 and 60

that is 5

so 5cm is the answer

Step-by-step explanation:

Answer 2

Answer :

600cm

given :

• three rods measuring 25cm, 40cm and 60cm are used to measure cloth

to find :

• minimum length of the cloth they can measure completly

Solution :

LHS = 25 , 40 ,60

$\Large{ \begin{array}{c|c} \tt 5 & \sf{ 25 , 40 , 60} \\ \cline{1-2} \tt 5 & \sf { 5 , 8 , 12} \\ \cline{1-2} \tt 4 & \sf{ 1 , 8 , 12} \\ \cline{1-2} \tt 2 & \sf{ 1 , 2 , 3} \\ \cline{1-2} \tt 3 & \sf{ 1 , 1 , 3 }\\ \cline{1-2} \tt & \sf{ 1 , 1 , 1}\end{array}}$

RHS = 5 x 5 x 4 x 2 x 3

=> 25 x 24

=> 600 cm

=> 600 cm minimum length of the cloth they can measure completly