Two numbers are in the ratio 3 : 7 and the sum of their cubes is 9990. Find the two numbers.
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Step-by-step explanation:
Let the no.s be 3x and 7x.
Given that sum of their cubes is 9990
=> (3x)³+(7x)³ = 9990
=> 27x³+343x³ = 9990
=> 370x³ = 9990
=> x³ = 9990/370 = 27
=> x = root cube of 27 = 3 .. (3×3×3 = 27)
1st No. = 3x = 3×3 = 3² = 9
2nd No. = 7x = 7×3 = 21
So the two numbers are 9 and 21....
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