Question

Ratio of maria and bisma age is 4:5 and ration of bisma to kiran is 3:2.

Answers

GPT-4o mini
Let's denote the ages of Maria, Bisma, and Kiran as \( M \), \( B \), and \( K \) respectively.

From the problem, we have:

1. 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:
\[
M = \frac{4}{5}B \quad \text{(1)}
\]

2. 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.

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