Question 547856
Let M be michells age and S be sarah's age.  From the question we can make up two equations:

{{{5S-10=M}}}   (1)
{{{S+M=44}}}    (2)

This is just a system of equations with two unknowns 
Substituting (1) into (2) we get 
{{{S+(5S-10)=44}}}
{{{6S-10=44}}}
{{{6S-10+10=44+10}}}
{{{6S=54}}}
{{{6S/6=54/6}}}
{{{S=9}}}


Now substituting this value back into (1) we get:
{{{5(9)-10=M}}}
{{{45-10=M}}}
{{{M=35}}}


So Michelle is 35 and Sarah is 9.  Hopefully this helps:)