Question

Three number are in the ratio 2:3:5. If the sum of their cubes is 34,560,find the number

Answer 1

$let \: the \: number \: be \: x \\ 2x + 3x + 5x = 34560 \\ 10x = 34560 \\ x = 3456 \\ \sqrt[3]{x} = \sqrt[3]{3456} \\ \\ x = 15.12 \\ \\ 2x = 2 \times \times 15.12 = 30.24 \\ 3x = 3 \times 15.24 = 45.36 \\ 5x = 5 \times 15.12 = 75.6.$