Pyar r300 12 mangoes bikes 260 ke liye Earth and 156 copy bytes in a box there are to be put in pocket so that is pocket contain the same number of toffees find the maximum number of toffees in each pocket

Dear Student,

  Assuming that the question is " There are 312 mango bites, 260 eclairs and 156 coffee bites in a box. They are to be put in pockets such that each pocket contains the same number of toffees, find the maximum number of toffees in each pocket."

Solution: Every pocket contains the same number of toffees. To find the maximum number we need to find the HCF of the numbers 312,260 and 156.

$$\begin{gathered} By Prime Factorisation Method, \\ 312 = 13*2*2*2*3 \\ 260 = 13*2*2*5 \\ 156 = 13*2*2*3 \\ The common factors are 13*2*2 = 52. \end{gathered}$$
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Since the HCF is 52, There are 52*6 mango bites, 52*5 eclairs and 52*3 coffee bites.
So there will be 52 pockets containing 14 toffees each containing 6 mango bites, 5 eclairs and 3 coffee bites.

Regards.

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