Hello, Vinicide!

Your set-up is correct.

But you've forgotten how to solve a system of equations.

One number is 25 more than 2 times another number.

. . .

If each number were multiplied by five, their sum would be 350.

. . .

What are the numbers?

Substitute [1] into [2]: .

. . . . . . . . . . . . . . . . . .

Substitute into [1]: .