Question

the numbers are in the ratio 3:4 if the difference of their cubes is 999 then the diffence of the numberis

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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♣ Let the numbers be 3x and 4x



♦ Given that difference between their cubes is 999

=> (4x)³ - (3x)³ = 999

=> 64x³ - 27x³ = 999

=> 37x³ = 999

=> x³ = 999/37

=> x³ = 27

=> x = ³√27

=> x = ³√(3 × 3 × 3)

=> x = 3



•°• The numbers are,

first number = 3x = 3 × 3 = 9

Second number = 4x = 4 × 3 = 12



♣ Now, difference between the numbers,

= 12 - 9

= 3


•°• The difference between the two numbers = 3.
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$<marquee>Thank you.</marquee>$

Answer 2

Step-by-step explanation:

♦ Given that difference between their cubes is 999

=> (4x)³ - (3x)³ = 999

=> 64x³ - 27x³ = 999

=> 37x³ = 999

=> x³ = 999/37

=> x³ = 27

=> x = ³√27

=> x = ³√(3 × 3 × 3)

=> x = 3

•°• The numbers are,

first number = 3x = 3 × 3 = 9

Second number = 4x = 4 × 3 = 12

♣ Now, difference between the numbers,

= 12 - 9

= 3

•°• The difference between the two numbers = 3.