Question

Nine times a number, diminished by 4, is 95. How do you find the number?

Answer 1

The number is `11`

Explanation:

If we represent the number by `n`
then `9` times the number is `9n`
and (`9` times the number) diminished by `4` is `9n-4`

We are told
`color(white)("XXX")9n-4=95`

If we add `4` to both sides, we get
`color(white)("XXX")9n = 99`

then, dividing both sides by `9`
`color(white)("XXX")n= 11`