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Question

The sum of two numbers is 9 and their product is 20. Find the sum of their cubes.

A
189
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B
1269
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C
190
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D
79
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Solution

The correct option is A 189
Given sum of two numbers is 9 and their product is 20.

Let the numbers be a and b.

a + b = 9

ab = 20

Cubing on both sides gives
(a + b)3 = 93

a3 + b3 + 3ab(a + b) = 729
a3 + b3 + 60(9) = 729
a3 + b3 = 729 - 540 = 189
a3 + b3 = 729 - 540 = 189


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