Math, asked by prajaktapkadu, 6 months ago

There are 20 kg of jowar and 50 kg of wheat in a shop. All the grain is to be packed in bags. If all the bags are to have equal weights of grain, what is the maximum weight of grain that can be filled in each bag ? *​

Answers

Answered by jahmed077
4

The weight of the grain in each bag must be a factor of 20 and 50.

Maximum possible weight must be filled in each bag.

First find HCF of 20 and 50.

Factors of each number:

20:- 1, 2, 4, 5, 10, 20

50:- 1, 2, 5, 10, 25, 50

Common factors :-

1, 2, 5, 10

From common factors of 20 and 50, the 10 is the highest number.

So, 10 is the HCF of 20 and 50.

Therefore, a maximum of 10 kg of grain can be filled in each bag.

Answered by amitnrw
1

Given :  There are 20 kg of jowar and 50 kg of wheat in a shop.

All the grain is to be packed in bags.

All the bags are to have equal weights of grain,  

To Find :  the maximum weight of grain that can be filled in each bag  

Solution:

Jowar = 20 kg

Wheat = 50 kg

To find  maximum weight of grain that can be filled in each bag   need to find

HCF of 20 and 50

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power

20 = 2 * 2 * 5

50 = 2 * 5 * 5

HCF = 2 * 5 = 10

Hence maximum weight of grain that can be filled in each bag is 10 kg

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