Correct Answer - Option 4 : 30, 40
Given:
Ratio of two numbers = 3 : 4
New ratio after subtracting 5 from each number = 5 : 7
Calculation:
Let the number be 3x and 4x respectively
After subtracting 5, 1st number = 3x – 5
2nd number = 4x – 5
According to the question,
(3x – 5)/(4x – 5) = 5 : 7
⇒ 21x – 35 = 20x – 25
⇒ x = 10
⇒ First number = 3x = 3 × 10 = 30
⇒ Second number = 4x = 4 × 10 = 40
∴ The numbers are 30 and 40
