Question

Express the following cubes as the sum of consecutive odd number

Answer 1

Answer:

\begin{gathered}Let \: us \: assume \: x \:and \:(x+2) \:are \\two \: consecutive \:odd \: numbers\end{gathered}

Letusassumexand(x+2)are

twoconsecutiveoddnumbers

/* According to the problem given */

x + ( x + 2 ) = 8^{3}x+(x+2)=8

3

\implies 2x + 2 = 512⟹2x+2=512

\implies 2x = 512 - 2⟹2x=512−2

\implies 2x = 510⟹2x=510

\implies x = \frac{510}{2}⟹x=

2

510

\implies x = 255⟹x=255

Therefore.,

\red { 8^{3}} \green { = 255 + 257 }8

3

=255+257

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