8 men and 12 boys can finish a piece of work in 5 days, while 6 men and 8 boys can finish it in 7 days. Find the time taken by 1 man along and that by 1 boy alone to finish the work.

Explanation

To solve the problem, we need to find the time taken by one man and one boy to finish the work alone. We can set up equations based on the information given in the question.

### Step 1: Set up the equations

Let:
- \( X \) = time taken by one man to finish the work alone (in days)
- \( Y \) = time taken by one boy to finish the work alone (in days)

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