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Tushar has Rs. X and Dwarkadas has Rs. Y. If Tushar gives half his money to Dwarkadas, then Dwarkadas will have 5 times money as much as Tushar. Which of the following equations expresses this fact?

Question

Tushar has Rs. X and Dwarkadas has Rs. Y. If Tushar gives half his money to Dwarkadas, then Dwarkadas will have 5 times money as much as Tushar. Which of the following equations expresses this fact?

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Solution

The situation can be expressed as follows:

Before Tushar gives half his money to Dwarkadas, Tushar has Rs. X and Dwarkadas has Rs. Y.

After Tushar gives half his money to Dwarkadas, Tushar has Rs. X/2 and Dwarkadas has Rs. Y + X/2.

According to the problem, after the transaction, Dwarkadas has 5 times the money Tushar has. This can be expressed as:

Y + X/2 = 5 * (X/2)

This is the equation that expresses the given fact.

This problem has been solved

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