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Question

In a box, the total number of Rs. 2 coins and Rs. 5 coins is 20. If the total coins amount to Rs. 76, find the number of coins of each denomination.

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Solution

Let the number of Rs. 2 coins and Rs. 5 coins be x and y respectively.
x+y=20
2x+5y=76
Solving these equations, we get,
x=8 and y=12
Therefore, number of Rs. 2 coins = 8 and number of Rs. 5 coins = 12.

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