Question

three numbers are in the ratio of 4:3:2 . the sum of their cubes is 21384 . find the numbers .​

Answer 1

Answer:

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Answer 2

$\sf\orange{ QUESTION :- }$

three numbers are in the ratio of 4:3:2 . the sum of their cubes is 21384 . find the numbers .

$\sf\green{ ANSWER :- }$

4x = 24

3x = 18

2x = 12

$\sf\green{ SOLUTION :- }$

Let the number are 4x , 3x , 2x

According to the question :-

➜ ( 4x )³ + ( 3x )³ + ( 2x )³ = 21384

➜ 64x³ + 27x³ + 8x³ = 21384

➜ 99x³ = 21384

$\tt ➜x^{3} = \dfrac{21384}{99}$

so, x³ = 216

x³ = 216 → 6

Therefore,

★ 4x = 4 × 6 = 24

★ 3x = 3 × 6 = 18

★ 2x = 2 × 6 = 12