Three numbers are in the ratio 2:3:4 The sum of their cubes is 0 334125 Findthe numbers - Maths - Cubes and Cube Roots

Question

T h r e e   n u m b e r s   a r e   i n   t h e
  r a t i o   2 : 3 : 4   T h e   s u m  
o f   t h e i r   c u b e s   i s   0 334125 F
i n d t h e   n u m b e r s

Shruti Tyagi · Accepted Answer

Dear student,

We have a ratio which is splitting the whole of something into proportions
 Total number of parts =2+3+4=9 parts Let the whole thing be  a  ( for all )Then a=29a+39a+49aWe are told that the sum of their cubes is 0
334125=3341251000000=26738000Accoding to question,29a3+39a3+49a3=267380008729a3+27729a3+64729a3=26738000Factor out the a3a38729+27729+64729=2673800099729a3=26738000a3=26738000×72999a3=196838000a=1968380003a=3×3×3×3×3×3×3×3×310×10×10×2×2×23a=3×3×310×2a=2720So, the numbers are:-29a=29×2720=310=0
339a=39×2720=920=0 4549a=49×2720=35=0
6thus the three numbers are 0 3, 0
45, 0 6

Regards

T h r e e n u m b e r s a r e i n t h e r a t i o 2 : 3 : 4 . T h e s u m o f t h e i r c u b e s i s 0 . 334125 . F i n d t h e n u m b e r s .

$T h r e e n u m b e r s a r e i n t h e r a t i o 2 : 3 : 4 . T h e s u m o f t h e i r c u b e s i s 0.334125 . F i n d t h e n u m b e r s .$