A father has Six children he distributes some toffees among them equally. Each of them cats 4 toffees. The total number of toffees remaining with them was thrice the number of toffees each of them initially had. Find the initial number of toffees with the father.
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Let the initial amount of toffees received by each be x.
The total received by them at the beginning is :
6x.
When each eats 4 each remains with:
(x - 4)
the total remaining is :
6(x - 4) = 6x - 24
This is thrice the number each had at the beginning.
This equals to 3x.
Equating the two we have :
3x = 6x - 24
6x - 3x = 24
3x = 24
x = 8
The total number the father had initially is :
6 × 8 = 48
48 Toffees.
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