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Answer :

Ans.Let the money with the first person and second person be Rs x and Rs y respectively.

According to the question,

x + 100 = 2(y – 100)

x + 100 = 2y – 200

x – 2y = – 300… (1)

Also, 6(x – 10) = (y + 10)

6x – 60 = y + 10

6x – y = 70… (2)

Multiplying equation (2) by 2, we obtain:

12x – 2y = 140… (3)

Subtracting equation (3) from equation (1), we obtain:

11x = 140 + 300

=> 11x = 440

=> x = 40

Putting the value of x in equation (1), we obtain:

40 – 2y = –300

=> 40 + 300 = 2y

=> 2y = 340

=> y = 170

Thus, the two friends had Rs 40 and Rs 170 with them.

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