Question

9/10 times a number plus 6 is 51

Answer 1

n = the number

9/10n + 6 = 51 Original Problem.
9/10n = 46 Subtract 6 from each side.
n = 51.11111111111111111111 Multiply each side by (10/9)

Answer: n = 51.111111111111111111111

Answer 2

So,

Let's translate this into mathematical form.
"9/10 times a number"

`(9)/(10) n`

"plus 6 is 51"
+ 6 = 51

So we have our equation:

`(9)/(10) n + 6 = 51`

Subtract 6 from both sides.

`(9)/(10) n = 45`

Multiply both sides by the reciprocal of 9/10 (10/9).

`n = (45) (10)/(9)`

Multiply.

`(45)/(1) * (10)/(9) --\ \textgreater \ (5)/(1) * (10)/(1) = 50`

The number is 50.

Check.

`(9)/(10) * 50 + 6 = 51`

Multiply.

`45 + 6 = 51`

Add.

`51 = 51`
This checks.

S = {50}