Question

What is the biggest weight that can be used to measure the wheat in each bag containing 42kg and 56kg wheat respectively an exact number of times? How many times will it take to weigh all the wheat together in the two bags using this weight?

56 POINTS FOR ANSWER!

Answer 1

Answer:

Answer:

Weight of the first fertilizer bag = 75 kgs

Weight of the second fertilizer bag = 69 kgs

The H.C.F of 5 and 69 is the highest weight that can evaluate the exact number of times of the fertilizer.

Highest Common Factor or HCF is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.

For finding maximum weight, we have to find H.C.F. of 75 and 69.

Factors of 75 = 3 x 5 x 5

Factors of 69 = 3 x 23

H.C.F of 69 and 75 is 3

Hence, the maximum weight value is 3 kg, which can calculate the same number of times the weight of the fertilizer.