QA – Placement Quizzes | Age | Question 5

6:7 is the ratio of Michael’s and Rosan‘s ages one year back. The ratio will become 7:8 in four years. Calculate the present age of Rosan.
(A) 35 years
(B) 32 years
(C) 36 years
(D) 31 years


Answer: (C)

Explanation: Let the ages of Michael and Rosan one year ago be 6a and 7a respectively. Then,
Michael’s age after 4 years = (6a + 1) + 4 = (6a + 5) years.
Rosan’s age after 4 years = (7a + 1) + 4 = (7a + 5) years.
Therefore, (6a + 5):(7a + 5) = 7:8
⇒ 8×(6a + 5) = 7×(7a + 5)
⇒ 48a + 40 = 49a + 35
⇒ a = 5.
Hence, the present age of Rosan = (7a + 1) = 7×5 + 1 = 35 + 1 = 36 years.

Quiz of this Question
Please comment below if you find anything wrong in the above post



My Personal Notes arrow_drop_up