Revolutions 24121

The white wheel has 24 teeth. The black wheel has fewer teeth than the white wheel. Both wheels return to their initial position for the first time after two revolutions of the white wheel. How many teeth does the black wheel have?

Correct answer:

c =  16

Step-by-step explanation:

b=24 c<b  k c=2 b  k c=2 24 k c=48 0<c<24  c1=1, k1=48 c2=2, k2=24 c3=3, k3=16 c4=4, k4=12 c5=6, k5=8 c6=8, k6=6 c7=12, k7=4 c8=16, k8=3  c=16

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