The ratio of two numbers is 2:3 and the sum of their cubes is 945. What is the difference of number ?

2 Answers on this Question

1. 189

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2. Let numbers be 2x, 3x
   Given: (2x)^3 + (3x)^3 = 945
   8x^3 + 27x^3 = 945
   x = 3
   Difference between numbers = 3x – 2x = x
   Hence difference = 3

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