The sum of two positive numbers is $25$. Five times the smaller number is $5$ more than three times the larger number. Represent this as a pair of linear equations in two variables.

• A
  Let the larger number be $x$ and the smaller number be $y$. The equations are $x+y=25$ and $5y=3x+5$.
• B
  Let the larger number be $x$ and the smaller number be $y$. The equations are $x+y=25$ and $3x-5y=5$.
• C
  Let the larger number be $x$ and the smaller number be $y$. The equations are $x+y=25$ and $5y-3x=5$.
• D
  Let the larger number be $x$ and the smaller number be $y$. The equations are $x+y=25$ and $3x+5y=5$.