Subject: General Aptitude · Chapter: Problems on Ages · Exam: 2008 · Marks: · Difficulty:
The difference between the present ages of Arun and Deepak is 14 years. Seven years ago, the ratio of their ages was 5 : 7 respectively. What is Deepak's present age?
(a)35 years
(b)42 years
(c)49 years
(d)56 years
(e)None of these
Answer
Answer (as printed): D
Explanation
Let the ages of Arun and Deepak 7 years ago be $5 x$ years and $7 x$ years respectively. Then, Arun's present age $=(5 x+7)$ years, Deepak's present age $$=(7 x+7) \text { years. } \begin{aligned} & \therefore(7 x+7)-(5 x+7)=14 \\ & \Rightarrow 2 x=14 \\ & \Rightarrow x=7 . \end{aligned}$$ Deepak's present age $=(7 \times 7+7)$ years $=56$ years.
Explanation as extracted from the printed page; notation may be imperfect.