Question

Three numbers are in the ratio 1 : 2:3 the sum of their cube is 98784 find the number

Answer 1

let the 3 no.s are 1x,2x and 3x
therafore sum of their cubes=(x)cube+(2x)cube+(3x)cube=98784
=(36x)cube
(x)cube=(98784/36)=2274
x=cube root (2744)=14

therefore the 3 nos. are 14,28,42

Answer 2

let 3 number are x ,2x, 3x than
given x^3+(2x)^3+(3x)^3=98784
36x^3=98784
x^3=2744
x=14
so number will be 14,28,42