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.