Question

Translate the sentence into an equation, then solve the

equation to find the number.
A number decreased by 7 and then
divided by 5 is 13.

Answer 1

The equation is:
`(x-7)/(5) = 13` and the number is 72.

Explanation:

We have to use mathematical notation to convert the given statement into an equation. As we don't know the exact value of number, we have to use a variable in place of the number.

Let x be the required number then

"A number decreased by 7"

`x-7`

"and then divided by 5"

`(x-7)/(5)`

" is 13."

`(x-7)/(5) = 13`

For solving, multiplying both sides of equation by "5"

`(x-7)/(5) * 5 = 13*5\\x-7 = 65`

Adding 7 on both sides of equation

`x-7+7 = 65+7\\x = 72`

Hence,

The equation is:
`(x-7)/(5) = 13` and the number is 72.