At present, Aruna's age is ` 1.5` times the age of Pujan and twice the age of Somy. After six years, Aruna will be ` 1.4` times the age of Pujan and Somy will be ` 0.8` times the age of Pujan than, what is the present age of Somy?

Options

A. 30 years
B. 36 years
C. 24 years
D. 18 years

Explanation

To solve the problem, we will define the ages of Aruna, Pujan, and Somy using algebraic expressions and then set up equations based on the information given in the question.

### Step-by-Step Solution:

1. **Define Variables:**
Let Pujan's current age be \( x \).
Then, Aruna's current age will be \( 1.5x \) (since Aruna's age is 1.5 times Pujan's age).
Somy's current age will be \( \frac{1.5x}{2} = 0.75x \) (since Aruna's age is twice Somy's age).
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