Question

Aruna has only 1 rupees and 2 rupees coins with her. If the total number of coins that she has is 50 and the amount of money with her is rupees 75, then the number of 1rupees and 2 rupees coins are respectively

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Answer 1

Answer :

Let number of Re 1 coins = x

and number of Rs 2 coins = y

Now, by given conditions:

Total number of coins = x + y = 50 …(i)

Also, Amount of money with her = (Number of Re 1 x1) + (Number of Rs2 x coin 2)

= x(1)+ y(2) = 75

= x+2y = 75 …(ii)

On subtracting Eq. (i) from Eq. (ii), we get

(x + 2y) - (x + y) = (75 - 50)

So, y = 25

Putting y = 25 we get x = 25.

Hence he has 25 Re 1 coins and 25 Rs 2 coins.

Pardon, if wrong.

Answer 2

Answer:

Let number of Re.1 coin =x

Number of Re. 2 coin =y

A/q,

x+y=50 ..(i)

x+2y=75 ..(ii)

On Solving eqn. (i) and (ii), we get

x=25 and y=25

Therefore, aruna has 25 coins of ₹1 and 25 coins of ₹2.

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