a)The sum of two numbers is 40. Taking the numbers as x and y from an equation b)Their difference is 10 . Using this idea from another equation c)Find the numbers
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x=10 y=30
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X + Y = 40 ( Given ) — Equation 1
X – Y = 10 ( Given ) — Equation 2
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Using cancellation method, we get —
( X + Y = 40 ) – ( X – Y = 10 )
Or, ( X + Y = 40 ) – X + Y = – 10
Or, X – X + Y + Y = 40 – 10
Or, 2 Y = 30
Or, Y = 30 / 2
Or, Y = 15
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Now, putting value of Y in ( equation 1) —
X + Y = 40
Or, X + 15 = 40
Or, X = 40 – 15
Or, X = 25
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Hence, X = 25 and Y = 15.
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