Difference of two numbers which are perfect cubes is 189 if the cube root of the smaller of the two numbers is 3 find the cube root of the larger number
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Answered by
4
cube root of A=3
A=3^3
A=27
B-A=189
B=189+A=189+27=216
Answered by
1
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
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