The product of 9 and the sum of a number and 8 is 180. whats the number
Let's call the number "x". The sum of the number and 8 is x + 8. The product of 9 and the sum of the number and 8 is then 9(x + 8). According to the problem, this product is equal to 180. So we can write the equation as 9(x + 8) = 180.
To solve for x, we need to solve this equation:
9(x + 8) = 180
First, distribute 9 to both terms inside the parentheses:
9x + 72 = 180
Next, subtract 72 from both sides of the equation:
9x = 180 - 72
9x = 108
Finally, divide both sides of the equation by 9 to solve for x:
x = 108/9
x = 12
Therefore, the number is 12.
Ty
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To solve this problem, we need to translate the given sentence into an algebraic equation and then solve for the unknown number.
Let's let the unknown number be represented by the variable "x".
According to the problem, the product of 9 and the sum of a number (x) and 8 is 180. Translating this into an equation, we have:
9(x + 8) = 180
To solve for x, we can start by distributing 9 to the terms inside the parentheses:
9x + 9(8) = 180
Simplifying further:
9x + 72 = 180
Next, we can solve for x by isolating the variable:
9x = 180 - 72
9x = 108
To find x, we need to divide both sides of the equation by 9:
x = 108/9
Simplifying the division:
x = 12
Therefore, the number is 12.