Question

Find the maximum number of boys among whom 25 oranges and 30 guavas can be equally distributed. Also find the number of fruits each will get?

Answer 1

Step-by-step explanation:

For this, you need to find the HCF of the given numbers 540, 450 and 630.

It’s easy to see that the HCF is 90.

Now when there are 90 people, each one would get 6 Oranges, each one would get 5 Apples and each one would get 7 Bananas.

If you try to go beyond 90 then in some or all cases, either you would require to divide the fruits or there would be uneven distribution i. e. some would get ‘x’ Oranges whereas few others would get ‘y’ Oranges if we are not giving fractional fruits.

So finding the HCF (aka GCD) is the key and that’s the answer!

Answer 2

Answer:

No. of oranges= 25

No. of gauvas =30

HCF of 25 and 30 is 5

divide the numbers by 5

Now when there are 5 people, each one would get 5 Oranges, each one would get 6 gauvas

If you try to go beyond 5 then in some or all cases, either you would require to divide the fruits or there would be uneven distribution i. e. some would get ‘x’ Oranges whereas few others would get ‘y’ Oranges if we are not giving fractional fruits

hope it helps you