For this case we can represent the problem as a mathematical equation.
Let
x = height of Alex.
y = height of Noah.
The equation that best represents the problem is
y = 1.5x
Substituting Alex's height value
y = 1.5 * (1.6) = 2.4
y = (2.4m) * (100cm / 1m) = 240cm
Then, the subtraction of both heights will result in how much higher Noah is
240cm-160cm = 80cm
answer
Noah is 80cm taller than Alex