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

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asked Sep 5, 2015 206k views

1 Answer

Sfarzoso · Answer 1 · 2015-09-10T18:06:48+0000

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

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

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