Answer:
The equation is: [tex]\frac{x-7}{5} = 13[/tex] 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"
[tex]x-7[/tex]
"and then divided by 5"
[tex]\frac{x-7}{5}[/tex]
" is 13."
[tex]\frac{x-7}{5} = 13[/tex]
For solving, multiplying both sides of equation by "5"
[tex]\frac{x-7}{5} * 5 = 13*5\\x-7 = 65[/tex]
Adding 7 on both sides of equation
[tex]x-7+7 = 65+7\\x = 72[/tex]
Hence,
The equation is: [tex]\frac{x-7}{5} = 13[/tex] and the number is 72.
