Question 182065
Let the number of cities visited by Rock band be x.
The jazz band visited 96 cities more than the rock band.
So, the number of cities visited by Jazz band will be (x+96).
Together the two tours visited 174 cities.

So, add them together.

Rock + Jazz = 174
x+(x+96)=174
2x+96=174

Now, subtract 96 on both the sides
2x+96-96=174-96
2x=78

Now, divide with 2 on both the sides
x=39

Thus, x+96 = 39+96 =135.
So, the number of cities visited by Rock band is 39.
And the number of cities visited by Jazz band is 135.