Question

the ratio of two number 4:5 and the difference of the cube of the number is 1647. Find the sum of the number

Answer 1

Let numbers are 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




Their sum = 12 + 15

=> 27

Answer 2

hope this helps you....