Find two numbers which are in the ratio of 5 : 4 and their cubes have difference of 1647.
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Step-by-step explanation:
Let, the numbers be 4x and 5x.
Given, Difference of their cube = 1647
Hence, ( 5x )^3 - ( 4x )^3 = 1647
=> 125x^3 - 64x^3 = 1647
=> 61 x^3 = 1647
=> x^3 = 1647 / 61
=> x^3 = 27
=> x^3 = 3^3
Due to this, x = 3
Numbers are 4x = 4( 3 ) = 12
And, 5x = 5( 3 ) = 15
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