Let's denote the ages of Maria, Bisma, and Kiran as \( M \), \( B \), and \( K \) respectively.
From the problem, we have:
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The ratio of Maria's age to Bisma's age is \( 4:5 \). This can be expressed as: \[ \frac{M}{B} = \frac{4}{5} \] We can write this relationship as: \[ M = \frac{4}{5}B \quad \text{(1)} \]
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The ratio of Bisma's age to Kiran's age is \( 3:2 \). This can be expressed as: \[ \frac{B}{K} = \frac{3}{2} \] We can write this relationship as: \[ B = \frac{3}{2}K \quad \text{(2)} \]
Now we can express \( M \) and \( K \) in terms of a single variable.
From equation (2): \[ K = \frac{2}{3}B \]
Now substitute this expression for \( K \) into equation (1): \[ M = \frac{4}{5}B \] \[ K = \frac{2}{3}B \]
Now we have all ages expressed in terms of \( B \):
- Maria's age \( M = \frac{4}{5}B \)
- Bisma's age \( B = B \)
- Kiran's age \( K = \frac{2}{3}B \)
If you want to express the ages in terms of a single variable, you could let \( B = 15x \) (choosing a common multiple of 5 and 3 for simplicity):
- Then, Maria's age \( M = \frac{4}{5} \cdot 15x = 12x \)
- Bisma's age \( B = 15x \)
- Kiran's age \( K = \frac{2}{3} \cdot 15x = 10x \)
Thus, the ages of Maria, Bisma, and Kiran in terms of \( x \) are:
- Maria: \( 12x \)
- Bisma: \( 15x \)
- Kiran: \( 10x \)
You can pick any value for \( x \) to get specific ages.