Question

the apples and bananas collected in an orchard on a particular day are 2a³b²and 4a⁴b, respectively. if they have to be packed separately in boxes which contains equal number of fruits, what is the largest number of fruits that can be packed in each box so that all the fruits are packed​

Answer 1

The largest number of fruits in each box would be 2a³b.

Step-by-step explanation:

Given,

Number of apples = 2a³b²,

While, number of bananas = 4a⁴b,

Since,

2a³b² = 2 × a × a × a × b × b,

4a⁴b = 2 × 2 × a × a × a × a × b,

Thus, HCF(2a³b², 4a⁴b) = 2 × a × a × a × b = 2a³b

So, if we have to make boxes that contain equal number of fruits,

Then,

The largest number of fruits that can be packed in each box = HCF(2a³b², 4a⁴b)

= 2a³b

#Learn more:

A person packed 96 apples and 112 oranges in such a way that each box contains fruits of the same variety and also of equal number of fruits. What is the maximum no. Of boxes in which all the fruits can be packed

https://brainly.in/question/3489946

Answer 2

Answer:

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