Question

The square of a natural number subtracted from its cube is 48. the number is

Answer 1

4 is the number which if we cube the 4 and subtract it's cube from its square we get 48 . hence 4 is ans

Answer 2

Solution

In this case, the square of a number is subtracted from the cube of the number to give 48 as result.

Let us assume first that the number is to be X.

Then, Square of the natural number is x²

Again, cube of the same natural number is x³

According to the problem,

x³ - x² = 48

or, x²(x-1) = 48

or, x²(x-1) = 4²(4-1) as 4 raised to the power of 2 gives 16 and 4-1 is 3. (16 x 3=48)

This signifies that the value of X is  4 in this problem.

Ans. The value of X is 4 i.e. the natural number.