Sana and Abha had   playing cards. Both of them lost   cards each. The product of the cards they now have is  .How many cards did Abha start with?

To solve the problem systematically, we will break it down into parts.

1. Break Down the Problem

Let:

• $x$ = Number of cards Sana started with.
• $y$ = Number of cards Abha started with.
• $a$ = Number of cards Sana lost.
• $b$ = Number of cards Abha lost.
• $P$ = The product of the cards they now have (given).

After losing cards, Sana has $x - a$ and Abha has $y - b$. The product of the cards they now have is:

$(x - a) \cdot (y - b) = P$

2. Relevant Concepts

We need to establish the relationship between the initial quantities and losses, and we will derive an equation from it.

3. Analysis and Detail

We can rearrange the equation:

$(x - a)(y - b) = P$

Expanding this gives us:

$xy - bx - ay + ab = P$

4. Verify and Summarize

At this point, we would generally need additional information for specific values, such as $a$, $b$, and $P$, to solve for Abha's initial number of cards $y$. Since result is determined based on provided constants, further steps can only be applied if those values were given.

Final Answer

Please provide specific values for the number of cards Sana and Abha started with, how many cards they lost, and the product of the cards they have after losing them, in order to find out how many cards Abha started with.