# Dividing Toffees

Some toffees are equally divided amongst Sam, John and Mary. Each of them now consumes 6 toffees. The combined number of toffees now remaining equals the number of toffees each had just after division. How many toffees were divided amongst them?

Answer on Monday.

Total toffees = 27

Łoffees were divided amongst them = 9

x = 3(x-6)

2x= 18

x = 9

all of the toffees : 27

each them : 9

Answer: 27ExplanationLet the number of toffees received by each friend = A

So after having 6 toffees, each friend is left with = (A – 6)

So the total number of toffees remaining = 3 x (A – 6)

As per the question, this is equal to the number of toffees each friend had before division (A), hence 3 x (A – 6) = A, or A = 9.

Since total number of toffees divided was 3 x A, hence answer is 3 x A = 27