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- Difference of two perfect cube is 189. If thecube root of the smaller of the two numbersis 3, find the cube root of the larger number.

Answer»

Let the two nos be x and y

Now given -: Difference of two numbers which are perfect cubes is 189

⇒x^3 - y^3 = 189

Let y be the smaller of the two nos

and the cube root of the smaller [y] of the two numbers is 3

⇒ y=3

find the cube of 3 and that is 27

⇒ y^3 = 27

ATP

⇒ x^3 - y^3 = 189

=> x^3 -27 =189 [Putting the value of y^3 = 27]

=> x^3 =189 +27

=> x^3= 216

Cube root of (216) = 6

⇒ x=6

Therefore, the larger number is 6. Ans

and the smaller number is 3 Ans

Let's, first thing we should do is to find the cube of 3 and that is 27. Now, add 27 to 189 - that is 27 + 189 = 216 Finally, find the cube root of 216 and that is 6. Therefore, the cube root of the larger number is 6.

is the correct answer

6 is the right answer of this question. please like my answer

number 6is the correct answer



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