the sum of 8 and a number divided by 3 equals 6 find the number
Let's call the number "x".
The given equation can be written as:
(8 + x) / 3 = 6
To find the value of x, we can start by multiplying both sides of the equation by 3 to eliminate the denominator:
8 + x = 18
Then, we subtract 8 from both sides of the equation:
x = 18 - 8
x = 10
Therefore, the number we are looking for is 10.
To find the number, let's break down the given information step by step and solve the equation.
Step 1: Let's assume the number we need to find as "x".
Step 2: "The sum of 8 and a number divided by 3 equals 6" can be written as an equation:
(8 + x) / 3 = 6
Step 3: To isolate x, we need to eliminate the fraction. Multiply both sides of the equation by 3:
3 * (8 + x) / 3 = 6 * 3
This simplifies to:
8 + x = 18
Step 4: Now, subtract 8 from both sides of the equation to isolate x:
8 + x - 8 = 18 - 8
This simplifies to:
x = 10
So, the number we are looking for is 10.
Let's use algebra to solve this problem step by step.
Step 1: Let's assume the unknown number as "x."
Step 2: According to the given information, "the sum of 8 and a number divided by 3 equals 6." We can write this as an equation:
(8 + x) / 3 = 6
Step 3: To isolate x, the unknown number, we need to multiply both sides of the equation by 3:
3 * (8 + x) / 3 = 6 * 3
Simplifying:
8 + x = 18
Step 4: Now, we can isolate x by subtracting 8 from both sides:
8 + x - 8 = 18 - 8
Simplifying:
x = 10
Therefore, the number is 10.