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)].

NCERT Class X
Mathematics - Mathematics

Chapter _PAIR OF LINEAR EQUATIONS
IN TWO VARIABLES

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Answers

2015-06-14T19:13:10+05:30
A/q x+100=2y-200
 x=2y-300
x-2y=-300
and   y+10=6x-60
        y-6x=-70
therefore, multiplying first equation by 1 and 2nd equation by 2
now, x-2y=-300 
   -12x+2y=-140
on adding both equation
     -11x=-440
         x=40 answer
now 40-2y=-300
       -2y=-340
          y=170 answer
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