Question

6.

“Fifteen minus a number is two-thirds of the difference between six times that number and fifteen"

Answer 1

`15-x=(2)/(3)(6x-15)`

The number is five

Explanation:

The question is

Write an algebraic expression and find the number

Let

x ---> the number

we know that

The algebraic expression that represent this problem is

`15-x=(2)/(3)(6x-15)`

solve for x

Multiply by 3 both sides to remove the fraction

`45-3x=2(6x-15)`

`45-3x=12x-30`

`12x+3x=45+30`

`15x=75`

`x=5`