The ratio between the present ages of A and B is 3 : 5. If the ratio of their ages fives years hence becomes 13 : 20, then the present age of B is?
Answer & explanation
Correct answer: option 2
A : B
3 : 5 ← (present time)
13 : 20 ← (after 5 years)
ATQ,
⇒ \(\frac{3x + 5}{5x + 5}\) = \(\frac{13}{20}\)
⇒ 60x + 100 = 65x + 65
⇒ 35 = 5x
⇒ x = 7
Therefore, Present age of B = 5x = 5 × 7 = 35 years