If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is:

120

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280

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160

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180

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170

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Solution

The correct option is C
160

Let the numbers be x and y. Then, x+y=20 and x-y=8 $∴ x^{2} - y^{2} = (x + y) (x - y) = 20 \times 8 = 160.$

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