Three Numbers are joined to one another 2:3:4 The sum of their cubes is 33597. Find the numbers.
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Let the numbers be 2x, 3x and 4x
sum of cubes = 33957
⇒(2x)³ + (3x)³ + (4x)³ = 33957
⇒8x³ + 27x³ + 64x³ = 33957
⇒99x³ = 33957
⇒x³ = 33957/99 = 343
⇒x = 343 = 7
Numbers are:
2x = 2×7 = 14
3x = 3×7 = 21
4x = 4×7 = 28
#KeepRockin
Let the numbers be 2x, 3x and 4x
sum of cubes = 33957
⇒(2x)³ + (3x)³ + (4x)³ = 33957
⇒8x³ + 27x³ + 64x³ = 33957
⇒99x³ = 33957
⇒x³ = 33957/99 = 343
⇒x = 343 = 7
Numbers are:
2x = 2×7 = 14
3x = 3×7 = 21
4x = 4×7 = 28
#KeepRockin
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