Three numbers are in the ratio 2:3:4 The sum of their cubes is 3,34,125 Find the numbers.
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Step-by-step explanation:
Suppose the numbers = 2z, 3z, 4z
Given, the sum of their cubes = 0.334125
As per question,
(2z)
3
+(3z)
3
+(4z)
3
=0.334125
or 8z
3
+27z
3
+64z
3
=0.334125
or 99z
3
=0.334125
or z
3
=0.334125÷99
x
3
=
99
0.334125
=0.003375
x
3
=
1000000
3375
x=
3
10×10×10×10×10×10
15×15×15
=
10×10×10
15
=0.015
Hence, the required numbers are
2×0.015=0.03
3×0.015=0.045
4×0.015=0.06
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