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Solve:- 99x+101y=1499 101x+99y=1501

Answers (1)

Given:  99x+101y=1499.....(i)

            101x+99y=1501......(ii)

Equation (ii) - Equation (i)

101x+99y - 99x -101y = 1501 -1499

x - y = 1 ...(iii)

Equation (i) + Equation (ii) 

99x+101y + 101x  + 99y =1499 + 1501

200(x+y) = 3000

x + y = 15 ...(iv)

Equation (iii) +Equation (iv)

x + y + x -y = 15 + 1

2x = 16   => x=8

y = 7.

Hence value of x,y is 8,7 respectively.

Posted by

Ravindra Pindel

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