Question 77

The ratio of present ages of Rangitha and Shaheen is 6:5. After 12 years the ratio of their ages will be 7:6. What is Rangitha's present age?

Solution

Let present age of Rangitha = $$6x$$ years

=> Present age of Shaheen = $$5x$$ years

According to question, => $$\frac{6x + 12}{5x + 12} = \frac{7}{6}$$

=> $$36x + 72 = 35x + 84$$

=> $$x = 84 - 72 = 12$$

$$\therefore$$ Rangitha's present age = $$6 \times 12 = 72$$ years

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