Question

Help me ASAP PLEASE

I thought of a number, divided 80 by my number, added 13, and then I multiplied the result by 5. I got 75. What is my number?

Answer 1

Your(my) number is 40

Explanation:

I. Given 80/something, + 13, * 5 = 75 when x is something

So [
`(80)/(x)` + 13 ]5 = 75

[
`(400)/(x)` + 65] = 75

`(400)/(x)` = 75 - 65

`(400)/(x)` = 10

400 = 10x

x = 40

II. Prove by replace 40 in x

[(80/40) + 13]5 = 75

[2 + 13] 5 = 75

(15)5 = 75

75 = 75 true

Ask me for anything.