Answer:
Given:
A treasure chest has less than 100 gold coins.
The conditions:
i) One more than a multiple of 3
ii) Two more than a multiple of 4
iii) Three more than a multiple of 5 and
iv) Four more than a multiple of 6
Calculation:
Take the condition (iv)
The possible number of coin in the chest = 10, 16, 22, 28, 34, 40, 46, 52, 58, 62, 68, 74, 80, 86, 92, 98
From the above possible number which satisfied condition (iii) = 28, 58, 68, 98
From the number which satisfied condition (iii), the possible number which satisfied condition (ii) = 58, 98
From the possible number which satisfied condition (ii), the possible number which satisfied condition (i) = 58
∴ The number of coin in the chest is 58.
