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 capital

Answer 1

Solution:

Let the amount of their respective capitals be rupees x and y.

according to the question :

case 1:

x+100=2(y-100)

x-2y=-300..............(I)

case 2:

6(x-10)=y+10

6x-y=70..................(II)

on multiplying eq (II) by 2 and then subtracting from eq (I) ,we get

x-12x=-300-140

-11x=-440

x=40

on putting x=40 in eq (I), we get

40-2y=-300

2y=340

y=170

hence the amount of their respective capitals are rupees 40 and 170.