Question

Date :
Page No: ......
22. Three no's are in the ratio of 2:3:4. The sum of their
cubes is 99000 find the three noos.​

Answer 1

Solution

let the numbers are 2x,3x and 4x

now according to the problem...

$(2x) {}^{3} + (3x) {}^{3} +( 4x) {}^{3} = 99000 \\ = > 8x {}^{3} + 27x {}^{3} + 64 x{}^{3} = 99000 \\ = > 99x {}^{3} = 99000 \\ = > x {}^{3} = 1000 \\ = > x {}^{3} = 10 {}^{3} \\ = > x = 10$

therefore the numbers are 20,30and 40.

hope this helps you......xd