Question 73050
The sum of the 2 pieces will be 98 in. so it will look like 
{{{x+y=98}}}
And since the 2nd piece is 10 in longer
{{{y=10+x}}}Substitute this into {{{x+y=98}}}
{{{x+(10+x)=98}}}
{{{2x+10=98}}}
{{{2x=88}}}
{{{2x=44}}}
{{{x=22}}}
So the shorter piece is 44 inches, use this info to find the longer piece
{{{44+y=98}}}
{{{y=54}}}
So the two pieces are 44 in. and 54 in.
Check:
{{{44+54=98}}}
{{{44+10=54}}} Works