# Pair Of Linear Equations In Two Variables

#### Question 2:

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)]

#### Answer:

Let those
friends were having Rs *x* and *y* with them.

Using the information given in the question, we obtain

*x* +
100 = 2(*y* − 100)

*x* +
100 = 2*y* − 200

*x* −
2*y* = −300 (*i*)

And, 6(*x*
− ...

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