Question

S1. 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:

30, 45, 60

Step-by-step explanation:

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

ATQ-

(2x)^3+(3x)^3+(4x)^3=334125

8x^3+27x^3+64x^3=334125

x^3(8+27+64)=334125

99x^3=334125

x^3=334125/99

x^3=3375

x=cu.rt. 3375

x=15

Therefore, the numbers are-

2x=30

3x=45

4x=60