120 apples were divided among 7 students such that each student would have at least 13 apples and and all the students would have a distinct number of apples calculate the minimum difference in the number of apples between the highest and lowest apple holder
Answers
Explaination:
Any two person may have 27 apple with them but no more than that'
like 2 persons each having 27 apples = 54 apple
remaining apple = 66
remaining person = 5
according to question each person should have at least 13 apple,
i.e 5 * 13 =65 our person may have 13 apple and one may have 14
Hope it help you
The minimum difference between the lowest and highest apple holder is 1.
Given,
Total apples =120 apples.
Total students = 7.
All should have a minimum of 13 apples.
All the students would have a distinct number of apples.
To Find,
The minimum difference between the lowest and highest apple holder.
Solution,
We can solve this numerical in the following approach.
Each and everyone should have a minimum of 13 apples.
So if 7 students have 13 each total apple count will be, 13×7=91 apples.
Apples left = 120-91=29 apples.
Those 29 apples are to be shared between 2 people.
So one can get 14 apples extra and another will get 15 apples extra.
One person will get a total of 14+13= 27 apples.
Another one will get, 15+13=28 apples.
∴The minimum difference between the highest and lowest apple is, 28-27=1 apple.
Hence, The minimum difference between the lowest and highest apple holder is 1.
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