ConceptEquations Reducible to a Pair of Linear Equations in Two Variables

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#### Question

One says, "Give me a hundred, friend! I shall then become twice as rich as you". The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their (respective) capital? [From the Bijaganita of Bhaskara II)

[**Hint:** *x* + 100 = 2 (*y* − 100), *y* + 10 = 6(*x* − 10)]

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