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QUESTION
Q
The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference of the two numbers is ?

Solution

Let, the two numbers be a and b. a + b = 13, Therefore, (a + b)2 = 132 = 169 a2 + b2 + 2ab = 169 a2 + b2 = 169 − 2ab ——-(1) a3 + b3 = 793 a3 + b3 = (a + b) (a2 − ab +...

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