Question

Three numbers are in the ratio 1:2:3. If the sum of their cubes is 98784 then the numbers are ?????​

Answer 1

Answer:

Step-by-step explanation:

Let the common ratio be x

.: The numbers will be in a ratio of 1x:2x:3x

ATQ,

(1x)³+(2x)³+(3x)³=98784

1x³+8x³+27x³=98784

36x³=98784

x³=$\frac{98784}{36}$

x³=2744

x=$\sqrt[3]{2744}$

x=14

.: Numbers are 1x = 14

                         2x = 28

                         3x = 42

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