Q:

Mr Barkley has a box of books. He says the number of books in the box is divisible by 2,3,4,5 and 6. How many books could be in the box? Add another factor so there is only one possible solution.

Accepted Solution

A:
Answer:The number of books in the box is 60.Step-by-step explanation:Since it is given that the number of books in the box is divisible by 2,3,4,5 and 6.So, the number of books in the box is multiple of these numbers.Thus we have to find Least Common Multiple (L.C.M.) of these numberL.C.M. of (2,3,4,5,6) = 60Thus the number of books in the box is multiples of 60 i.e. 60, 120, 180, 240,... etc.The other factor that can we add in statement so there is only one possible solution is: "The number of books in the box is smallest number divisible by 2,3,4,5 and 6".