Step-by-step explanation:
A....
Solution ,





Change the sign of both side


B....
Solution,

Multiply the both side by the least common multiple to eliminate the fraction...




Answer:

Step-by-step explanation:
There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board
The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board
possible combination
So the probability is pretty thin

Well to solve this you write out three equations
x+(x+1)+(x+2)=1623
then
3x=1620
x=540
so the three consecutive integers are 540,541, and 542.
Answer:
Speed of boat in still water is 6km/h
Speed of current is 4km/h
Step-by-step explanation:
We know speed = distance / time
Let the speed of boat in still water be x
Let the speed of current be y
Hence the speed of boat, down stream = 
Distance downstream = 20km
Time taken = 2 hours
We have

......(1)
Speed of boat upstream = 
Distance upstream = 4
Time taken = 2
We have

...(2)
Adding (1) & (2)


Substituting in (1) we get
