Question

Translate the sentence into an equation, then solve the

Answer 1

Answer:

The equation is: $\frac{x-7}{5} = 13$ and the number is 72.

Step-by-step 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"

$\frac{x-7}{5}$

" is 13."

$\frac{x-7}{5} = 13$

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

$\frac{x-7}{5} * 5 = 13*5\\x-7 = 65$

Adding 7 on both sides of equation

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

Hence,

The equation is: $\frac{x-7}{5} = 13$ and the number is 72.