Question

If 24=72 and 53=152 then value of 36 is

Answer 1

Answer :

36 = 243

Step-by-step explanation :

Let's see the sequence of the given numbers.

Step 1 :

Calculate the cube if the numbers separately .

Example ;

▪️2³ = 2 × 2 × 2 = 8

▪️4³ = 4 × 4 × 4 = 64

And,

▪️5³ = 5 × 5 × 5 = 125

▪️3³ = 3 × 3 × 3 = 27

Step 2 :

Now, add those cubes together ;

Example ;

▪️8 + 64 = 72  (as given)

▪️125 + 27 = 152  (given)

Similarly, following these two steps, we can find the value of 36.

3³ = 3 × 3 × 3 = 27

6³ = 6 × 6 × 6 = 216

On adding these two,

27 + 216 = 243.

Hence, the value of 36 is 243.

Answer 2

$\underline \bold {Solution:-}$

24 = 72

Steps involved:-

$24 = {2}^{3} + {4}^{3} = 8 + 64 \\ \\ 24 = 72$

and

53 = 152

Steps involved:-

$53 = {5}^{3} + {3}^{3} = 125 + 27 \\ \\ 53 = 152$

Similarly,

by using above steps:-

$36 = {3}^{3} + {6}^{3 } = 27 + 216 \\ \\ \bold{36 = 243}$