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4. The sum of two numbers is 12 and difference of their squares is 12. Find the difference of the numbers. |
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Answer» two numbers be x and ygiven that the sum of two numbers is 12i.e. x+y = 12 - (1)and, the DIFFERENCE between their squares is 12i.e.x^2-y^2 = 12 (x+y)(x-y) = 12 [USING the IDENTITY a^2 - b^2 = (a+b)(a-b)]using the VALUE of x+y in above12(x-y) = 12x-y = 1 |
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