Three numbers are in the ratio 2:3:4. The sum of their cubes is 33,957. Find the largest number.

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

Answered by nehal | 2024-06-10

The three numbers in the ratio 2:3:4, whose cubes sum to 33,957, can be expressed as 14, 21, and 28. The largest number is 28. We determined this by calculating the cube roots based on the ratio and sum of cubes.
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Answered by nehal | 2024-12-23