The sum of 8 and a number divided by 3 equals 6. Find the number.
Explain in detail
Let's call the unknown number "x". The problem states that the sum of 8 and x divided by 3 equals 6. We can represent this statement using an equation:
(8 + x)/3 = 6
To solve for x, we can start by multiplying both sides of the equation by 3 to eliminate the fraction:
3 * ((8 + x)/3) = 3 * 6
This simplifies to:
8 + x = 18
Next, we subtract 8 from both sides of the equation to isolate x:
8 + x - 8 = 18 - 8
This simplifies to:
x = 10
Therefore, the number we are looking for is x = 10.
To find the number, we can set up an equation based on the given information.
Let's represent the number as "x".
According to the problem, the sum of 8 and the number divided by 3 equals 6. We can write this as an equation:
8 + x/3 = 6
To solve for x, we need to isolate the variable. We can do this by subtracting 8 from both sides of the equation:
8 + x/3 - 8 = 6 - 8
This simplifies to:
x/3 = -2
Next, we want to eliminate the fraction by multiplying both sides of the equation by 3:
3 * (x/3) = -2 * 3
This gives us:
x = -6
Therefore, the number we are looking for is -6.
To solve this problem, let's break it down step by step.
Step 1: Let's assume the unknown number we need to find is represented by the variable x.
Step 2: The sum of 8 and the number x divided by 3 can be represented as (8 + x)/3.
Step 3: According to the problem, this expression equals 6, so we can write the equation as follows:
(8 + x)/3 = 6
Step 4: To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 3 to eliminate the fraction:
3 * (8 + x) / 3 = 6 * 3
Simplifying, we have:
8 + x = 18
Step 5: To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides of the equation:
8 + x - 8 = 18 - 8
Simplifying, we have:
x = 10
Step 6: Therefore, the number we are looking for is 10.
To summarize the steps:
1. Assume the unknown number as x.
2. Express the given statement as an equation: (8 + x)/3 = 6.
3. Multiply both sides by 3 to eliminate the fraction: 3 * (8 + x) / 3 = 6 * 3.
4. Simplify the equation: 8 + x = 18.
5. Isolate x by subtracting 8 from both sides: x = 10.
6. The number we are looking for is 10.