There are three varieties of rice bags 48kg,
36kg and 72kg find the maximum value of
weights which can measure the weights of
the rice exact number of times
Answers
Answer:
answer is 12
Step-by-step explanation:
it is a application of finding highest common factor
and 12 is highest factor of 36,48 and 72
hope u have understood
Given,
Weights of three varieties of rice bags = 48kg , 36kg, 72kg
To find,
The maximum value of weight which can measure the weights of the rice exact number of times.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Here, we have to calculate the HCF of the given values of weight.
HCF :
48 = 2×2×2×2×3
36 = 2×2×3×3
72 = 2×2×2×3×3
Common factors = 2,2,3
HCF = 2×2×3 = 12
This value of HCF will be the value for maximum weight (ie. 12kg) which can measure the weights of the rice exact number of times.
Maximum weight = 12 kg
[48kg weight can be measured in 4 times , 36kg can be measured weight in 3 times , 72kg can be measured weight in 6 times]
Hence, the maximum weight is 12 kg