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To have fun, Pedro and Willian decided to have a paintball fight. Pedro told Willian, "It is not fair, you have thrice the bullet than I have". Willian agreed and give Pedro 10 of hit bullet. Pedro shouted, "It is still not right as you still have twice the bullet".
How many bullets Willian more should give to Pedro to have a fair fight?
Since we are looking to find odd reminder which implies that the remainder will be either 1 or 3
Therefore number must follow below two conditions:
A) We can list number 5n + 1 or 5n + 3. (where n = 0,1,2,3.....)
B) The number must end in 1 or 3.
List of such numbers less than 100 are:
1, 3, 11, 13, 21, 23, 31, 33, 41, 43, 51, 53, 61, 63, 71, 73, 81, 83, 91, 93
Let's remove the nonprime ones which are 1, 21, 33, 51, 63, 81 and 91
So, I will be left with 13 numbers which fit the bill.
3, 11, 13, 23, 31, 41, 43, 53, 61, 71, 73, 83 and 93