Harold is twice as old as Jack, who is three years older than Dan. If Harold's age is five times Dan's age, how old in years is Jack?
Dan's age is x.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).
Harold's age is five times Dan's age.
\(2(x+3)=5x \\
2x+6=5x \\
6=5x-2x \\
6=3x \\
\frac{6}{3}=x \\
x=2 \\ \\
x+3=2+3=5\)
Jack is 5 years old.