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Let the numbers be A and B

A + B = 70

AB = 70 + 1130 = 1200 : therefore B = 1200/A : Substituting for B gives

A + B = A + 1200/A = 70 : A2 + 1200 = 70A : A2 - 70A + 1200 = 0

This equation factorises (A - 30)(A - 40) = 0

When A - 30 = 0 then A = 30

When A - 40 = 0 then A = 40

The special pair of numbers are 30 and 40.

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15y ago

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