arun has only rupees one and rupees two coins with him. if the total number of coins that he has is 50 and the amount of money with him is rupees 75 find the number of Rupees 1 and rupees two coins are
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Let us take,
Re.1 coins as x
Rs. 2 coins as y
The total number or Re.1 and Rs.2 are 50
So x+y=50_______________________________(1)
Therefore, the total amount of Re.1 is 1x
Therefore, the total amount of Rs.2 is 2y
Total money is 75
Hence the sum of Total Re.1 amount + Total Rs.2 amount = 75
This is 1x+2y=75 ______________________________(2)
Equating Eqn. 1 and 2
x=50-y
Putting x in 1x+2y=75
1(50-y)+2y=75
y=25
Putting y in x=50-y
We get x = 50 – 25 = 25
Therefore, the number of Re.1 coin is 25 and Rs.2 coin is 25
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