Question

Amit had x cricket cards. The number of cricket cards of Bhumi is 3
2
of the number of cards of Amit. Chetan does not have any card. Amit and Bhumi gave some cards to Chetan. Now they all have the same number of cards.
The number of cricket cards given by Amit to Chetan is represented by which of the following options?

Answer 1

Answer:

hjbgkvcjjbjjiuuuioohjhu

Answer 2

The number of cricket cards given by Amit to Chetan is 4/9 of the number of cards Amit had

Given : Amit had x cricket cards.

The number of cricket cards of Bhumi is 2/3 of the number of cards of Amit.

Chetan does not have any card.

Amit and Bhumi gave some cards to Chetan.

They all have the same number of cards.

To Find : The number of cricket cards given by Amit to Chetan

Solution:

Here it is given that Amit had x cricket cards.

Since the number of cricket cards of Bhumi is 2/3 of the number of cards of Amit.

Number of cricket cards of the Bhumi = 2x/3

Total Cricket Cards of Amit and Bhumi

$\displaystyle \sf{ = x + \frac{2x}{3} }$

$\displaystyle \sf{ = \frac{3x + 2x}{3} }$

$\displaystyle \sf{ = \frac{5x}{3} }$

After giving some cards to Chetan from Amit and Bhumi all three have the same number of cards

The number of cards each has

$\displaystyle \sf{ = \frac{1}{3} \times \frac{5x}{3} }$

$\displaystyle \sf{ = \frac{5x}{9} }$

So the number of cricket cards given by Amit to Chetan

$\displaystyle \sf{ =x - \frac{5x}{9} }$

$\displaystyle \sf{ = \frac{9x - 5x}{9} }$

$\displaystyle \sf{ = \frac{4x}{9} }$

$\displaystyle \sf{ = \frac{4}{9}.x }$

= 4/9 × Number of cards with Amit had

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