Question 1125056
Name the two variable, A and B. 
Convert the words to algebra,
"one number is 5 more than another"
1.{{{B=A+5}}}
and
"Three times the smaller is equal to twice the larger increased by 8"
2.{{{3A=2B+8}}}
From 1,
{{{2B=2A+10}}}
Substituting into 2,
{{{3A=(2A+10)+8}}}
{{{3A=2A+18}}}
Subtract {{{2A}}} from both sides.
{{{A=18}}}
Now use either equation to solve for {{{B}}}.