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Nitya and Satya have some marbles with them. Nitya says to Satya, “If you have given one marble to me, we will have an equal number of marbles. Satya says to Nitya, “If you give me one marble, I will have twice the marbles you have.” How many marbles do Nitya and Satya have respectively?

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An Intiative by Sri Chaitanya

4, 6

5, 7

6, 4

7, 5

answer is B.

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Detailed Solution

Concept- We can solve this problem by formulating equations and solving them simultaneously based on the number of variables.
Assume that Nitya has

marbles and Satya has

marbles.
According to the question

When solving (1) and (2), we get

Therefore, Nitya and Satya have 5 and 7 marbles, respectively.
Hence, the correct answer is option 2) 5, 7.

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