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## Answers

therafore sum of their cubes=(x)cube+(2x)cube+(3x)cube=98784

=(36x)cube

(x)cube=(98784/36)=2274

x=cube root (2744)=14

therefore the 3 nos. are 14,28,42

Given that the sum of three cube is 98784

So x³ + (2x)³ + (3x)³ = 98784

⇒ x³ + 8x³ + 27x³ = 98784

⇒ 36x³ = 98784

⇒ x³ = 98784 / 36

⇒ x³ = 2274

⇒ x = ∛2274

⇒ x = 14

2x = 2 × 14 = 28

3x = 3 × 14 = 42

So numbers are 14, 28 and 42.