The health inspector visits every 7 days
The fire inspector visits every 12 days
a)
The table for the next 4 visits for each inspector is shown below:
Health inspector: 7, 14, 21, 28
Fire inspector: 12, 24, 36, 48
b)
In how many days will both inspectors visit on the same day;
In order to find the solution to this problem, we need to find the L.C.M of 7 and 12.
The L.C.M of 7 and 12 is 7 x 12 = 84
Hence, both inspectors will visit on the 84th day