Given jack is 3 times as old as lacy.
Let the age of the lacy be x.
Then, the age of the jack is 3x.
After 8 years from now, the sum of their ages will be 64.
[tex]\begin{gathered} (x+3x)+16=64 \\ 4x=64-16 \\ 4x=48 \\ x=\frac{48}{4} \end{gathered}[/tex]Thus, the value of x will be
[tex]x=12[/tex]Therefore, the age of the lacy is 12 and the age of the jack is
[tex]12\times3=36[/tex]Thus, Jack is 36 years old while lacy is 12 years old.
