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?
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.
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