Rahul has 5 times as 1 rupee coin as he has five rupee coins. If he has in all a sum of rupees 77, how many coins of each denomination does he have?
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Answer:
Number of 2 rupees coins = 21 and number of 5 rupees coins = 7
Solution:
Let us take number of 5 rupees coins as X and number of 2 rupees coins as Y
Amount of 5 rupees coin will make = 5X
Amount of 2 rupees coin will make = 3Y
Number of 2 rupees coin =
Number of 2 rupees coins are equal to 3X and number of 5 rupees is X
Total amount = 2( 3X ) + 5X = 11X
Now we can equate the amount which 11X = 77
X = 7
Now as we know the number of 2 rupees coin is 3X and number of 5 rupees coin is X, that means
Number of 2 rupees coins = 21 and number of 5 rupees coins = 7
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