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Question -

One says, тАЬGive me a hundred, friend! I shall then become twice as rich as you.тАЭ The other replies, тАЬIf you give me ten, I shall be six times as rich as you.тАЭ Tell me what is the amount of their respective capital?



Answer -

Let the amount of first person = тВ╣ x
and amount of second = тВ╣ y
According to the first condition,
x + 100 = 2 (y- 100)
=> x + 100 = 2y тАУ 200
=> x тАУ 2y = -200 тАУ 100
=> x тАУ 2y = -300 тАжтАж.(i)
According to the second condition,
6(x тАУ 10) = (y + 10)
6x тАУ 60 = y + 10
6x тАУ y = 10 + 60
6x тАУ y = 70 тАж.(ii)
Multiplying (i) by 1 and (ii) by 2, we get
┬а
┬а
Hence first person has money = тВ╣ 40 and second person has = тВ╣ 170

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