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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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Keynote
The sum of the two numbers is odd number (13), which indicates that one number is odd and the other one is even.
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