The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:
Answer & explanation
Correct answer: option 3
ATQ,
Lets assume present age of A and B are 3x and 4x respectively.
Given \(\frac{3x - 12}{4x - 12}\) = \(\frac{2}{3}\)
⇒ 9x - 36 = 8x - 24
⇒ x = 12
Present age of A = 36
Present age of B = 48
Sum of ages of A and B = 84 years