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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 ?

a) 4 Years
b) 5 Years
c) 6 Years
d) 7 years

Answer: b
Explanation: Let Sulekha age be 9 year,
Arunima’s age = 8x years
$$\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & 81x + 45 = 80x + 50 \cr & x = 5 \cr} $$
Difference in their ages
= (9x – 8x) years
= x years
= 5 years

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