Question

find a number such that if you add 4 and divide the result by 3 ,you get the same results as adding 13 and dividing the result by 5.​

Answer 1

The number is 4.5.

Explanation:

Let's use the variable n.

`(n+4)/(3) = (n+13)/(5)`

Multiply so they have common denominators.

`(5n+20)/(15) =(3n+39)/(15)`

Now we can multiply each side by 15 and solve.

`5n+20=3n+39`

Isolate the variable.

`2n=19`

Divide by the coefficient.

`n=9.5`

Now we can plug it in to check.

`9.5 + 4 = 13.5`

`(13.5)/(3) =4.5`

`9.5+13=22.5`

`(22.5)/(5) =4.5`

So the number is 4.5