Subject: General Aptitude · Chapter: Problems on Ages · Exam: 2009 · Marks: · Difficulty:
Three years ago, the ratio of the ages of Amisha and Nimisha was 8 : 9 respectively. 3 years hence, the ratio of their ages will be 11 : 12 respectively. What is the present age of Amisha?
(a)16 years
(b)19 years
(c)21 years
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): B
Explanation
Let Amisha’s age 3 years ago be 8x years. Then, Nimisha’s age 3 years ago = 9x years. Present age of Amisha = (8x + 3) years. Present age of Nimisha = (9x + 3) years. (8 x + 3) + 3 11 8 x + 6 11 = ⇒ = (9 x + 3) + 3 12 9 x + 6 12 ⇒ 12 (8x + 6) = 11 (9x + 6) ⇒ 96x + 72 = 99x + 66 ⇒ 3x = 6 ⇒ x = 2. Amisha’s present age = (8 × 2 + 3) years = 19 years.
Explanation as extracted from the printed page; notation may be imperfect.