There are some candies and some boxes.
When 5 candies are put in each box, 92 candies are left.
When 8 candies are put in each box, less than 8 candies are put in 1 box and 16 boxes with no candy are left.
When 7 candies are put in each box, several boxes and several candies are left.
According to (8 - 5) × x = 92 + 8 × 17 = 228, (8 - 5) × x is more than 220 and less than 227 (228 - 1= 227), and moreover it is a multiple of 3.
Or it is 222 or 225.
Thus, the number of the box is 222 / 3 = 74 or 225/ 3 = 75.
The number of the candy is 74 × 5 + 92 = 462 or 75 × 5 + 92 = 467.
462 is a multiple of 7, so when 7 candies are put in each box, no candy is left.
Therefore the number of the candy to be found is 467.
