a purse has only two Rupee and Five rupee coins. the sum of the coins is 36 and the total value of the coin is rupees 84 find the number of 5 rupee coin
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Answer:
Let the number of 2Rupee coins be x
And number of 5 Rupee coins be y
Then,
x+y=36
=x=36-y ---------eq(1)
Also,
2x+5y=84
=2(36-y)+5y=84 -------from eq(1)
=72-2y+5y=84
=3y=84-72
=3y=12
=y=12/3
=y=4
Putting y=4 in eq(1),
x=36-4
=x=32
Thus, the number of 2 Rupee coin is 32 and the number of 5 Rupee coin is 4.
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