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Let x be the number of 5 rupee coins and y be the no of 2 rupee coins.
According to the question,
5x + 2y = 100----------------------------------------1
x + y = 32---------------------------------------------2
Substitution y = 32 - x in equation 1,
5x + 2(32-x) = 100
5x + 64 - 2x = 100
3x = 100 - 64
3x = 36
x = 12
==> y = 32 - 12 = 20
There are 12 of 5 rupee coins and 20 of 2 rupee coins
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