Question

the three numbers are in the ratio 2:3:5 the sum of the cubes is 34560 find the numbers

Answer 1

Hey dear!!


Here is yr answer.....



Given,

The three nos. are in the ratio 2:3:5

Sum of the nos. = 34560


Sum of the ratios 2:3:5 = 2+3+5 = 10


First no. = 2/10 × 34560 = 6912

Second no. = 3/10 × 34560 = 10368

Third no. = 5/10 × 34560 = 17280



Therefore, the nos. are ---- 6912 , 10368 and 17280



Hope it hlpz....

Answer 2

Hey

Here is your answer,

Ratio of three numbers = 2:3:5
Let the three numbers be 2x, 3x, and 5x. 
Given, 
Sum of their cubes = 34560
(2x)^3 + (3x)^3 +(5x)^3 =34560
Solving this ,
We get,
x=6
Now, we know that the value of x is 6. 
We are going to find the numbers. 
2x = 2×6 = 12
3x = 3×6 = 18
5x = 5×6 = 30
Hence, the numbers are 12, 18, and 30. 

Hope it helps you!