Question 194

The ages of Aarzoo and Arnav are in the ratio of 11:13 respectively.After 7 years the ratio of their ages will be 20:23. What is the difference in years between their ages ?

Solution

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Let the ages of Aarzoo and Arnav be X and Y respectively.

Hence, $$\frac{X}{Y}=\frac{11}{13}$$

Similarly, $$\frac{X+7}{Y+7}=\frac{20}{23}$$

Solving both the equations, we get $$X=33$$ and $$Y=39$$

So, the difference in ages equals 6

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