Question

one says,"give me a hundread, friend! i shall then become twice as rich as you". the other replies, "if you give me a ten, i shall be six times as rich as you". tell me what is the amount of their respective capital.

Answer 1

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Answer 2

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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 = 2y - 200

➠ x - 2y = -300 (i)

➠ And, 6 (x - 10) = (y + 10)

➠ 6x - 60 = y + 10

➠ 6x - y = 70 (ii)

Multiplying equation (ii) by 2, we obtain

12x - 2y = 140 (iii)

Subtracting equation (i) from equation (iii), we obtain

➠ 11x = 140 + 300

➠ 11x = 440

➠ x = 40

Using this in equation (i), we obtain

➠ 40 - 2y = -300

➠ 40 + 300 = 2y

➠ 2y = 340

➠ y = 170

Therefore, those friends had Rs 40 and Rs 170 with them respectively.