two number are in the ratio 2:3 the difference of their cubes is 9.728 find the numbers
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hey mate here is your answer.....
Step-by-step explanation:
☑️ The two numbers are in ratio 2:3 the difference of their cubes 9,728 . Find the numbers.
Answer:--
➡️ Let the numbers be 2x , 3x
➡️ (3x)³ - (2x)³ = 9,728
➡️ 27x³ - 8x³ = 9,728
➡️ 19x³ = 9,728
➡️ x³ = 512
➡️ x = 8
▶️ If the value of x is 8 then the numbers are
- 2x = 2(8) = 16
- 3x = 3(8) = 24
So the two numbers are 16 and 24.
Hope it helps!☺️
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