Question

6. What is the greatest weight that can measure exactly two heaps containing 1050
kg and 825 kg of grains respectively.
.
Ti​

Answer 1

Answer:We have two heaps 1050 kg and 825 kg of grain respectively.

In order to find the greatest weight that can measure exactly the two heaps of grain, we need to find the H.C.F. of the weights of the grain.

So,

1050 = 2 * 3 * 5 * 5 * 7 * 1

825 = 3 * 5 * 5 * 11 * 1

Step-by-step explanation:

Answer 2

In order to find the greatest weight, we’ll take the Highest Common Factor of both the weights which will divide both the weights in a way such that the quotient is a natural number.

Thus

1050 = 2*3*5*5*7
850 = 2*5*5*17

Clearly, we can see that the highest common number which divided both the weight or their HCF is 2*5*5, i.e. 50.

Thus a weight of 50kg can measure exactly two heaps containing 1050kg and 825kg of grains respectively.