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

Nithin ? Aug 14 '2022 at 11:47

Correct answer is: 5 years

Explanation:

Let Sulekha age be 9 year,
Then Arunima's age = 8x years

\(\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & \Rightarrow 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & \Rightarrow 81x + 45 = 80x + 50 \cr & \Rightarrow x = 5 \cr}\)

Difference in their ages
= (9x - 8x) years
= x years
= 5 years

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Correct answer is: 5 years Explanation: Let Sulekha age be 9 year, Then Arunima's age = 8x years \(\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & \Rightarrow 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & \Rightarrow 81x + 45 = 80x + 50 \cr & \Rightarrow x = 5 \cr}\) 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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