Question

CUBE ROOTS
1. Three numbers are in the ratio 1:2:3. The sums of their cubes are 7776. Find the
numbers​

Answer 1

Answer:

let the un known number be 'x'

1x+2x+3x=7776

6x=7776

x=7776÷6

x=1296

1x=1296

2x=2×1296=2592

3x=3×1296=3888

Explanation:

the answer is correct or not we can know by adding the answer

1296+2592+3888=7776

7776=7776

means answer is right

Answer 2

Let the three no. be the multiple of x
Therefore, 1x, 2x, 3x
ATQ,
(1x)^3 + (2x)^3 + (3x)^3 = 7776
=> x^3 + 8x^3 + 27x^3 = 7776
=> 36x^3 =7776
=> x^3 = 7776/36
=> x^3 = 216
=> x = _/216
=> x = 6
Therefore, the nos. are:-
1; 1x = 6
2; 2x
2(6)= 12
3; 3x
3(6)= 18