Question
If the sum of two numbers is cubed and equals 3375, and
their product is 150, what is the positive difference between their individual cubes?Solution
ATQ;
Let the numbers be A and B.
Product of numbers AB = 150... (1)
And (A + B)³ = 3375 = 15³
So, A + B = 15... (2)From equation (1) and (2),
A = 10 and B = 5
Therefore,
A³ - B³ = 10³ - 5³ = 1000 - 125 = 875
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