Concept:Use a common variable to represent the ratio and form an equation from the new ratio after subtraction.Explanation:Let the two numbers be 5x and 6x.After subtracting 5 from each, they become 5x−5 and 6x−5.The new ratio is 6x−55x−5​=54​.Cross-multiply: 5(5x−5)=4(6x−5).Simplify: 25x−25=24x−20.Solve: x=5.Thus the numbers are 5×5=25 and 6×5=30.Answer:25 and 30 (Option C).