Question

"eight times the difference of a number and three is sixty-four"?

Answer 1

Answer:

the number would be 11

Step-by-step explanation:

8    ·    x - 3       =      64

________                 _          (divide both sides by 8)

8                                 8

x - 3  =   8

+ 3         + 3

x  = 11

(check:

11 - 3 = 8

8 x 8 = 64 )

Answer 2

Hi student, let me help you out!

................................................................................................................................

        $\bold{Let:}$                                    $\star$

           $\mathsf{s\:be\:the\:number}$

The little phrase (eight times) tells us to multiply s times 8: $\mathsf{8s}$.

The phrase (the difference of) tells us to subtract 3 minus s: $\mathsf{s-3}$.

Now, the problem also tells us to multiply 8 times 3-s: $\mathsf{8(s-3)}$.

Notice I put parentheses around 3-s. This tells us to multiply 8 times both terms - 3 and -s.                                                  $\star$

Finally, this expression is 64. All of our hard work results in the following equation: ✨ $\bigstar\underline{\boxed{\mathrm{8(s-3)=64}}}$                                      $\star$

Hope this helped you out, ask in comments if any queries arise.

Best Regards!                                 $\star$

$\star\bigstar\underline{\underline{\overline{\overline{\bold{Reach\:far.\:Aim\:high.\:Dream\:big.}}}}}\bigstar\star$