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 $3x+5y=5$.

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