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Question

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


Options:
A .  12
B .  28
C .  160
D .  180
Answer: Option C

Let the numbers be `x` and y. Then  `x` + y = 20 and  `x` - y = 8

`:.`  `x^2 - y^2 ` = `(x + y) (x - y)` =  20 x 8 = 160



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