Three numbers are in the Ratio 2:34. The sum of their cubes is 577368 . Find the numbers.
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Step-by-step explanation:
Let the number by 2x,3x and 4x. Then,
(2x)³+(3x)³+(4x)³ =33957
⇒8x³+27x³+64x³ =33957
⇒99x³ =33957
⇒x³ = 33957/99
=343
⇒x³=7×7×7 [Resolving 343 into prime factors]
⇒x=7
Hence, the numbers are
2x=2×7=14,3x=3×7=21
and 4x=4×7=28
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