Question

Three numbers are in the ratio 2: 3 : 4. The sum of their cubes is 33957 . find the
numbers.​

Answer 1

Answer:

Let the numbers be 2x, 3x and 4x

sum of cubes = 33957

⇒(2x)^3 + (3x)^3 + (4x)^3 = 33957

⇒8x^3 + 27x^3 + 64x^3 = 33957

⇒99x^3 = 33957

⇒x^3 = 33957/99 = 343

⇒x = 3√343 = 7

Numbers are:

2x = 2×7 = 14

3x = 3×7 = 21

4x = 4×7 = 28

Answer 2

Answer:

Thus..1st no.will be 2x=2×7=14

2nd no. will be 3x= 3 ×7= 21

3rd no. will be 4x= 4 ×7= 28

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