The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

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BANK PO Exam (Andhra Bank) 2008 click here to view all questions

The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

A4 years

B5 years

C6 years

D7 years

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Correct answer is: 5 years Explanation: Let Sulekha age be 9 year, Then Arunima's age = 8x years $\begin{array}{rl}& \frac{9x+5}{8x+5}=\frac{10}{9}\\ & \Rightarrow 9\left(9x+5\right)=10\left(8x+5\right)\\ & \Rightarrow 81x+45=80x+50\\ & \Rightarrow x=5\end{array}$ Difference in their ages = (9x - 8x) years = x years = 5 years Nithin ? answered Aug 14 '2022 at 11:47 All Comments

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