Question

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the

numbers. ​

Answer 1

Let the ratio 1:2:3 as x, 2x and 3x

According to the question,

x3 + (2x)3 + (3x)3

= 98784 x3 + 8x3 + 27x3

= 98784 36x3

= 98784 x3

= 98784/36

= 2744 x

= ∛2744

= ∛(2×2×2×7×7×7) = 2×7 = 14

So, the numbers are,

x = 14

2x = 2 × 14 = 28

3x = 3 × 14 = 42

hope this helps you

Answer 2

so the required answer is

1x=1×14=14

2× =2×14=28

3x=3×14=42