Question

What is the sum of $4$ consecutive odd numbers to form $64$?

• A. $13+15+27+19=64$
• B. $13+15+17+19=64$
• C. $13+5+17+19=64$
• D. $3+15+17+19=64$

Answer 1

The correct option is B $13+15+17+19=64$

Given number $64$ is the cube of $4$, i.e. $4^3=64$.

We know,

$1=1=1^3$,

$3+5=8=2^3$,

$7+9+11=27=3^3$,

$13+15+17+19=64=4^3$.

$\therefore$ The sum of four consecutive odd numbers are to form $64$ is $13+15+17+19=64$.

Hence, option $B$ is correct.