Question

three numbers are in the ratio of 2:3:4. the sum of their cubes is 3,34,125. find the numbers​

Answer 1

Answer:

74250,11375,148500

Step-by-step explanation:

let's 2 =2x

then,3=3x

then,4=4x

2x+3x+4x=334125

9x =334125

x=334125/9

x=37125

2x=74250

3x=11375

4x=148500

Answer 2

Answer:

Let the ratio 2:3:4 be 2a, 3a, and 4a.

So according to the question:

(2a)3+ (3a)3+(4a)3 = 0.334125

8a3+27a3+64a3 = 0.334125

99a3 = 0.334125

a3 = 334125/1000000×99

= 3375/1000000

a = ∛(3375/1000000)

= ∛((15×15×15)/ 100×100×100)

= 15/100 =

0.15 Hence ,the numbers are:

2×0.15 = 0.30

3×0.15 = 0.45

= 4×0.15

= 0.6

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