Question 734955
m = Melissa's age now.
j = Joyce's age now.


{{{m=j-24}}}, Melissa is 24 years younger than Joyce.


m+2 = Melissa in two more years
j+2 = Joyce in two more years


{{{(j+2)=3*(m+2)}}}, Joyce will be three times as old as Melissa in two years


You have a system of two linear equations:
{{{m=j-24}}} AND {{{j+2=3*(m+2)}}}
Hopefully that is enough for you to finish, and in fact is most of the solution process, that of  analyzing and setting up the equations.  Now just solve the system for j and m.