Respuesta :

alinakincsem

Answer:

8 is the number.

Step-by-step explanation:

We are given the following expression in words which we are to translate into mathematical expression and tell the number:

'eight times the sum of 5 and some number is 104'

Assuming the number to be [tex]x[/tex], we can write it as:

[tex] 8 ( 5 + x ) = 1 0 4 [/tex]

[tex] 5 + x = \frac { 1 0 4 } { 8 } [/tex]

[tex] 5 + x = 1 3 [/tex]

[tex]x=13-5[/tex]

x = 8

kudzordzifrancis

ANSWER

[tex]8[/tex]

EXPLANATION

Let the number be y.

Eight times the sum of the number and 5 is written as:

[tex]8(5 + y)[/tex]

From the question, this expression must give us 104.

This implies that:

[tex]8(5 + y) = 104[/tex]

Expand the parenthesis to get;

[tex]40 + 8y = 104[/tex]

Group similar terms to get:

[tex]8y = 104 - 40[/tex]

Simplify:

[tex]8y = 64[/tex]

[tex]y = \frac{64}{8} [/tex]

This finally evaluates to

[tex]y=8[/tex]

Hence the number is 8

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