Question 106123
Let;s call your numbers A and B. 
1.{{{ A+B=60}}}
2.{{{ A-B=7}}}
Use 2. to solve for A in terms of B. 
2.{{{ A-B=7}}}
{{{A=7+B}}}
Substitute that value in equation 1.
1.{{{ A+B=60}}}
{{{(7+B)+B=60}}}
{{{2B+7-7=60-7}}}
{{{2B=53}}}
{{{B=53/2=26.5}}}
Substitute this value back into your equation for A.
{{{A = 7+B=7+26.5=33.5}}}
Check your answers.
1.{{{A+B=60}}}
{{{33.5+26.5=60}}}
{{{60=60}}}
Good answer.
2.{{{A-B=7 }}}
{{{33.5-26.5=7}}}
{{{7=7}}}
Good answer. 
Your two numbers are 26.5 and 33.5.