Subject: General Aptitude · Chapter: Problems on Ages · Exam: 2008 · Marks: · Difficulty:
The ages of Sulekha and Arunima are in the ratio of 9:8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages? (Bank P.O., 2008)
(a)4 years
(b)5 years
(c)6 years
(d)7 years
(e)None of these
Answer
Answer (as printed): B
Explanation
Let Sulekha’s age be 9x years. Then, Arunima’s age = 8x years. 9 x + 5 10 ∴ = ⇒ 9 (9x + 5) = 10 (8x + 5) 8x + 5 9 ⇒ 81x + 45 = 80x + 50 ⇒ x = 5. Difference in their ages = (9x – 8x) years = x years = 5 years.
Explanation as extracted from the printed page; notation may be imperfect.