Subject: General Aptitude · Chapter: Problems on Ages · Exam: · Marks: · Difficulty:
What is the present age of Tanya ? (Bank P.O., 2008) I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively. II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5. III. Rahul is 5 years older than Tanya.
(a)I and II only
(b)II and III only
(c)I and III only
(d)All I, II and III
(e)Any two of the three
Answer
Answer (as printed): E
Explanation
I. Let the present ages of Tanya and Rahul be 3x years and 4x years respectively. II. After 5 years, (Tanya’s age) : (Rahul’s age) = 4 : 5. III. (Rahul’s age) = (Tanya’s age) + 5. 3x + 5 4 From I and II, we get = . This gives x. 4x + 5 5 ∴ Tanya’s age = 3x can be found. Thus, I and II give the answer. From I and III, we get 4x = 3x + 5. This gives x. ∴ Tanya’s age = 3x can be found. Thus, I and III give r the answer. From III : Let Tanya’s present age be t years. Then, Rahul’s present age = (t + 5) years. t+5 4 Thus, from II and III, we get : = . This gives t. t + 10 5 PROBLEMS ON AGES Thus, II and III give the answer. ∴ Correct answer is (e). X 2
Explanation as extracted from the printed page; notation may be imperfect.