Question

EXERCISE 3.7
1. Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum
value of weight which can measure the weight of the fertiliser exact number of times.​

Answer 1

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