Question

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

विकल्प

• 35 and 15

• 35 and 20

• 15 and 35

• 25 and 25

Answer 1

Aruna has only Rs 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs 1 and Rs 2 coins are, respectively 25 and 25.

Explanation:

Let the number of Rs 1 coins = x

And number of Rs 2 coins = y

x + y = 50   ..........(i)

Also, (x × 1) + (y × 2) = 75

⇒ x + 2y = 75   ........(ii)

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

y = 75 – 50

= 25

When y = 25, then from (i),

x = 25