Subject: General Aptitude · Chapter: Problems on Ages · Exam: 2008 · Marks: · Difficulty:
At present, Suresh's age is twice the age of his daughter. After 6 years from now, the ratio of the ages of Suresh and his daughter will be 23 : 13. What is the present age of Suresh?
(a)36 years
(b)40 years
(c)46 years
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): B
Explanation
Let daughter's age be $x$ years. Suresh's age $=2 x$ years. $$\begin{aligned} & \therefore \frac{2 x+6}{x+6}=\frac{23}{13} \Rightarrow 13(2 x+6)=23(x+6) \\ & \Rightarrow 26 x+78=23 x+138 \\ & \Rightarrow 3 x=60 \\ & \Rightarrow x=20 . \end{aligned}$$ Present age of Suresh $=2 x$ years $$=(2 \times 20) \text { years }=40 \text { years. }$$
Explanation as extracted from the printed page; notation may be imperfect.