Math equations
Let X = cost of TV. Let Y = cost of mini component. You said that both together cost 17500, so X + Y = 17500. You also said that the TV cost 1500 more than the component, so X = Y + 1500. If you combine both equations, you get (Y + 1500) + Y = 17500. Simply reduce this equation to 2Y + 1500 = 17500, which reduces to 2Y = 16000, which reduces to Y = 8000. Using either of the first 2 equations, if Y = 8000, then x must be equal to 9500. The TV cost 9500 and the component cost 8000.
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