Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2008 · Marks: · Difficulty:
One year ago the ratio of the ages of Sarika and Gouri was 3 : 4 respectively. One year hence the ratio of their ages will be 10 : 13 respectively. What is Sarika's present age?
(a)18 years
(b)20 years
(c)26 years
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): E
Explanation
Let Sarika's and Gauri's ages one year ago be $3 x$ and $4 x$ years respectively. Sarika's age 1 year hence $=(3 x+2)$ years. Gauri's age 1 year hence $=(4 x+2)$ years. $$\begin{aligned} & \therefore \frac{3 x+2}{4 x+2}=\frac{10}{13} \Rightarrow 13(3 x+2)=10(4 x+2) \\ & \Rightarrow 39 x+26=40 x+20 \Rightarrow x=6 . \end{aligned}$$ Hence, Sarika's present age $=3 x+1$ $$=(3 \times 6+1) \text { years }=19 \text { years. }$$
Explanation as extracted from the printed page; notation may be imperfect.