A person has only Rs.1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and

Monjur Alahi

A person 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  

(a) 15 and 35 (b) 35 and 15 (c) 30 and 20 (d) 25 and 25


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Salim Ahmed Kawsar

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(d) Let the no. of Rs.1 coins = x

and the no. of Rs.2 coins = y

According to the question:

x + y = 50                             . ... (i)

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

on solving (i) and (ii), we get

2y – y = 75 – 50

⇒ y = 25

put value of y in equation (i), we get

x = 50 – y

= 50 – 25 = 25

Hence, number of Rs.1 and Rs. 2 coins are 25 and 25 respectively.

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