Question

Three number are inthe ratio 1:2:3, and sum of their cube is 7776. so numbers are?

Answer 1

Ratio of numbers = 1:2:3

Let common ratio = x

Then, numbers = 1x,2x,3x

According to the question:

(1x)³+(2x)³+(3x)³ = 7776

x³+8x³+27x³ = 7776

36x³ = 7776

x³ = 7776/36

x³ = 216

x = (216)⅓

x = 6

Numbers:-

x = 6

2x = 2×6 = 12

3x = 3×6 = 18

The numbers are 6,12,18.

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