Question

three numbers are to one another in the ratio 2:3:4. the sum of their cubes is 33957. find the numbers

Answer 1

Three numbers are in the ratio 2:3:4

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

The sum of their cubes = 33957

(2x)³+(3x)³+(4x)³ = 33957

8x+27x+64x = 33957

99x = 33957

x = 33957/99

x = 343

The numbers are

→ 2x = 2(343) = 686

→ 3x = 3(343) = 1029

→ 4x = 4(343) = 1372

Hope it helps

Answer 2

let the nos. be 2x, 3x and 4x
sum of nos. = 33957
(2x)²+(3x)²+(4x)²= 33957
8x+27x+64x= 33957
x= 33957/99
= 343


hence nos. will be 2x= 686
3x=1029
4x=1372
hope this will help...plz react thanks