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Rani has only 1 rupee and 2 rupee coins with her. If total number of coins she has is 60 and the amount of money with her is Rs. 100/-, then the numbe
Question

Rani has only 1 rupee and 2 rupee coins with her. If total number of coins she has is 60 and the amount of money with her is Rs. 100/-, then the number of 1 rupee and 2 rupee coins are

A.

40 and 20

B.

20 and 40

C.

10 and 50

D.

50 and 10

Correct option is B


· x be the number of 1-rupee coins
· y be the number of 2-rupee coins
We are given two conditions:
Total number of coins:
x + y = 60
Total value of coins:
1(x) + 2(y) = 100
x + 2y = 100
Solving the Equations: We have:
x + y = 60
x + 2y = 100
Subtract the first equation from the second:
(x + 2y) - (x + y) = 100 – 60
x + 2y – x – y = 40
y = 40
Substituting y = 40 in x + y = 60 :
x + 40 = 60
x = 20
Thus, Rani has 20 one-rupee coins and 40 two-rupee coins.

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