Answer:
Smallest number with the properties in the question = 57
Step-by-step explanation:
Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.
LCM of 4,5 and 6 is 60.
We are told that;
The number has a remainder of 1 when divided by 4
The number has a remainder of 2 when divided by 5
The number has a remainder of 3 when divided by 6
In all 3 cases, the difference between the divisor and the remainder is 3.
This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57
