The difference between two numbers is 96. One number is nine times the other. How many pairs of numbers fit these conditions?
We have
x - 9x = 96 or 9x - x = 96
simplify
-8x = 96 8x = 96
x = -12 x = 12
and 9x = -108 and 9x = 108
So the pairs (x, 9x) = (-12, -108) and (12, 108)
