Question

Eight times the sum of 5 and some number is 104. What is the number

Answer 1

`8`

EXPLANATION

Let the number be y.

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

`8(5 + y)`

From the question, this expression must give us 104.

This implies that:

`8(5 + y) = 104`

Expand the parenthesis to get;

`40 + 8y = 104`

Group similar terms to get:

`8y = 104 - 40`

Simplify:

`8y = 64`

`y = (64)/(8)`

This finally evaluates to

`y=8`

Hence the number is 8

Answer 2

8 is the number.

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
`x`, we can write it as:

`8 ( 5 + x ) = 1 0 4`

`5 + x = \frac { 1 0 4 } { 8 }`

`5 + x = 1 3`

`x=13-5`

x = 8