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Question

Mohan and Ramesh had 804 cards altogether. After Mohan had given 18 cards to Ramesh. Ramesh had 3 times as many cards as Mohan. How many cards did Mohan at first?

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Solution

Dear Student,
Let the number of cards with Mohan be x.
So, the number of cards with Ramesh = Total cards - cards with Mohan = 804-x

After Mohan gives 18 cards to Ramesh,
Cards with Mohan= x-18
Cards with Ramesh = 804-x+18 = 822-x
Ramesh's cards = 3× Cards with Mohan
822-x = 3(x-18)
822-x= 3x-54
3x+x= 822+54
4x = 876
x = 876/4 = 219

Number of cards with Mohan in the beginning = x= 219 Ans.

Regards

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