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A lady has only RS. 1and RS. 2 coin in her purse. If in all she has 50 coins totaling RS. 70, find the number of coins of each type.

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Final answer:

To find the number of coins of each type, we can set up a system of equations. Solving this system of equations, we find that there are 20 RS. 1 coins and 30 RS. 2 coins.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the given information. Let's assume the number of RS. 1 coins is x and the number of RS. 2 coins is y. Since the total number of coins is 50, we have the equation x + y = 50. Additionally, the total value of the coins is RS. 70, so we have the equation 1x + 2y = 70. Now we can solve this system of equations to find the values of x and y.

Multiplying the first equation by 2, we get 2x + 2y = 100. Subtracting this equation from the second equation, we get 1y = 30. This means that y, the number of RS. 2 coins, is 30.

Substituting this value back into the first equation, we have x + 30 = 50. Solving for x, we get x = 20. Therefore, there are 20 RS. 1 coins and 30 RS. 2 coins in the lady's purse.

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