Question

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

Answer 1

We take each number as x = 2x 3x 4x 
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
 =∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28