Question

LIERCISE 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:

• The maximum value of weight is 3 kg.

Step-by-step explanation:

Given that:

• Renu purchases two bags of fertiliser of weights 75 kg and 69 kg.

To Find:

• The maximum value of weight which can measure the. weight of the fertiliser exact number of times.

Concept:

• For finding the maximum value of weight which can measure the weight of the fertiliser exact number of times, we have to find the HCF of 75 kg and 69 kg after that we will get the maximum value of weight.

Finding the HCF of 75 and 69:

By prime factorisation.

⟶ Factor of 75 = 5² × 3

⟶ Factor of 69 = 23 × 3

Common factors of 75 and 69 is 3.

Hence, The HCF of 75 and 69 is 3.

Now we can say that:

• The maximum value of weight is 3 kg which can measure the weight of the fertiliser exact number of times.

Answer 2

Answer:

Given :-

• Renu purchases two bags of fertiliser of weights 75 kg and 69 kg.

To Find :-

• What is the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Solution :-

Given :

• Weight of two bags of fertiliser = 75 kg and 69 kg.

We have to find the maximum value of weight then we have to find the HCF of 75 and 69 :

➲ 75 = ③ × 5 × 5

➲ 69 = ③ × 23

Hence, the HCF of 75 and 69 is 3.

∴ The maximum value of weight is 3 kg which can be measure the weight of the fertiliser exact number of times.