6 months a go the present age of the student of class 10th was 14 years 6 months hence the age of the same students will be :

Options

A. 15 years
B. 15(1/2) years
C. 20 years
D. none of these

Explanation

To solve the problem step by step, let's break it down:

1. **Identify the age of the student 6 months ago**:
The problem states that 6 months ago, the student's age was 14 years and 6 months.

2. **Convert the age into months for easier calculation**:
- 14 years = 14 * 12 = 168 months
- 6 months = 6 months
- Therefore, 6 months ago, the total age in months was 168 + 6 = 174 months.

3. **Calculate the present age**:
Since the age given is from 6 months ago, we need to add 6 months to find the present age.
- Present age in months = 174 months + 6 months = 180 months.

4. **Convert the present age back to years and months**:
- 180 months = 180 ÷ 12 = 15 years.
- There are no additional months since 180 is a multiple of 12.

5. **Determine the future age**:
The question asks for the age of the student 6 months hence (in the future).
- Future age = Present age + 6 months = 15 years + 6 months.

6. **Final answer**:
Therefore, the age of the student 6 months hence will be 15 years and 6 months.

### Summary of the Solution:
- Present age = 15 years
- Future age (6 months hence) = 15 years and 6 months

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