Rehana went to a bank to withdraw ₹$2{,}000$. She asked the cashier to give her ₹$50$ and ₹$100$ notes only. Rehana got $25$ notes in all. Find how many notes of ₹$50$ and ₹$100$ did she receive.

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Step 1: Let number of ₹$50$ notes $= x$ and ₹$100$ notes $= y$. $x + y = 25$ ... (i)
Step 2: $50x + 100y = 2000 \Rightarrow x + 2y = 40$ ... (ii)
Step 3: Solving (i) and (ii): $y = 15$, $x = 10$
Step 4: $10$ notes of ₹$50$ and $15$ notes of ₹$100$

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