Three numbers are in the ratio 1:2:3.the sum of their cubes is 0.098784.find the number
numbers are x, 2x and 3x # since ratio is 1:2:3 and assuming smallest to
sum of cubes is x3 + 8x3 + 27x3 = 36x3
36x3 = 0.098784
x3 = 0.002744 = 2744 * 10-6
2744 * 10-6 = 8 * 343 = 23 * 73 * 10-6 = 143 * (10-2)3 = (14 * 10-2)3
x3 = (14 * 10-2)3
x = 14 * 10-2 = 0.14
Numbers are thus 0.14, 0.28 and 0.42
sum of cubes is x3 + 8x3 + 27x3 = 36x3
36x3 = 0.098784
x3 = 0.002744 = 2744 * 10-6
2744 * 10-6 = 8 * 343 = 23 * 73 * 10-6 = 143 * (10-2)3 = (14 * 10-2)3
x3 = (14 * 10-2)3
x = 14 * 10-2 = 0.14
Numbers are thus 0.14, 0.28 and 0.42