Question

in a bag, no.of one rupee coin is 3 times than two rupees coin.if there are only RS.150 in this bag then find out the no. of both the coins.​

Answer 1

Answer:

• No. of Rs 1 and Rs 2 coins are 90 and 30 respectively.

Step-by-step explanation:

Given that:

• No. of Rs 1 coins is 3 times than the no. of Rs 2 coins.
• There are Rs 150 in the bag.

To Find:

• The number of both the coins.

Let us assume:

• Number of Rs 2 coins be x.

Then,

• Number of Rs 1 coin will be 3x.

Now,

According to the question,

$\sf{2(x) + 1(3x) = 150}$

Opening the brackets,

$\sf{2x + 3x = 150}$

Adding 2x and 3x,

$\sf{5x = 150}$

Transposing 5 from LHS and RHS and changing its sign,

$\sf{x=\dfrac{150}{5}}$

Dividing 150 by 5,

$\sf{x=30}$

Hence, x = 30

As,

• x = 30

Therefore,

• No. of Rs 2 coins = x = 30
• No. of Rs 1 coins = 3x = 90