Question

The product of nine and a number is added to 6, the result is 24. What is the number? Which of the following equations could be used to solve the problem?

Answer 1

Answer: Number: 2. Equation: 9x+6=24

Explanation: to solve this problem we need to write an equation that expresses the given information. First we have the product of nine and a number, we can write that as 9x, then we know that this product is added to 6, so we can write it as 9x+6, and the result of this sum is 24, so the equation would be:

9x+6=24

now we isolate the x (to calculate the number):

9x=24-6

9x=18

x=18/9

x=2

Answer 2

Hello!

The answers are:

The number is: 2

The equation is:
`9x+6=24`

Why?

From the statement we know that we are looking for an equation that give as result 24, the variable is a product of 9 and it's added to 6, so:

Let x be the variable:

`9x+6=24`

We can also calculate the value of the variable (x)

Isolating the variable, we have:

`9x+6=24\\9x=24-6\\9x=18\\x=(18)/(9)=2`

Have a nice day!