# Meena went to a bank to withdraw Rs.2000. She asked the cashier to give Rs. 50 and Rs. 100 notes only . Meena got 25 notes in all . Find how many notes of Rs.50 and Rs.100 she received.

$\\\text{Let the number of Rs 50 notes and Rs 100 notes be x and y respectively.}\\ \therefore \text{Total notes } = (\text{x} + \text{y}) \text{ notes}\\\\ \text{According to the question, }\\\text{ x } +\text{y}=25 \ldots (i) \\ 50 \text{x}+100 \text{y}=2000 \ldots.. (ii) \\\\ \text{Multiplying equation (i) by } 50, \text{ we get } \\ 50 x+50 y=1250 \ldots (iii) \\\\ \text{Subtracting equation (iii) from equation (ii), we get}\\ 50 y=750 \\ y=15 \\\\ \text{Putting this value in equation (i), we have x }=10 \\\\ \therefore \text{ Rs.} 50 \text{ notes }=10\text{ notes }\\ \text{Rs.} 100 \text{ notes }=15 \text{ notes.}$

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