Question

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 288. Find
the numbers.

Answer 1

Answer:2, 4, 6

Step-by-step

Three numbers are in the ratio 1:2:3 Let say numbers areN , 2N & 3Nsum of their cubes is 288=> N³ + (2N)³ + (3N)³ = 288=> N³ + 8N³ + 27N³ = 288=> 36N³ = 288=> N³ = 8=> N³ = 2³=> N = 2so three numbers are2 , 2*2 , 3 * 2= 2 , 4 , 6