If 5 is added to a number the sum is tripled, the result is 31 more than the number. Find the number.
3(5+x)=x+31
15+3x=x+31
15-31=x-3x
-16=-2x
Negative signs are cutted
X=16รท2
X=8
Ah, solving equations, my favorite clown business! Let's start by translating the problem into a mathematical expression.
Let's assume the number is "x." According to the problem, if we add 5 to the number, the sum is tripled. So, our expression becomes 3(x + 5).
The problem also states that this result is 31 more than the number itself. So, we can set up the equation as follows: 3(x + 5) = x + 31.
Now, it's time for some clown magic! Let's simplify the equation:
3x + 15 = x + 31
Subtract x from both sides:
2x + 15 = 31
Subtract 15 from both sides:
2x = 16
Now, we'll divide by 2 to solve for x:
x = 8
Therefore, the number we are looking for is 8! Ta-da!
Let's break down the problem step by step:
Step 1: Let's assume the number is represented by the variable 'x'.
Step 2: According to the problem, if 5 is added to the number, the sum is tripled. So, this can be represented as (x + 5) * 3.
Step 3: The problem also states that this result is 31 more than the number. Mathematically, we can represent this as (x + 5) * 3 = x + 31.
Step 4: Let's solve the equation:
- Distribute the 3 on the left-hand side: 3x + 15 = x + 31.
- Subtract x from both sides: 3x - x + 15 = 31.
- Simplify: 2x + 15 = 31.
- Subtract 15 from both sides: 2x = 31 - 15.
- Simplify: 2x = 16.
- Divide by 2 on both sides: x = 16 / 2.
Step 5: Solve the equation:
- x = 8.
Therefore, the number is 8.
To solve this problem, let's break it down step by step:
Let's assume the number we need to find is represented by the variable 'x'.
1. "If 5 is added to a number": This can be written as x + 5.
2. "The sum is tripled": This means we need to multiply the sum (x + 5) by 3. So, we have 3(x + 5).
3. "The result is 31 more than the number": The result is referring to the previous step, which is 3(x + 5). So, we can express this as 3(x + 5) = x + 31.
Now, we can solve this equation to find the value of x:
Expanding the equation:
3x + 15 = x + 31
Moving all terms with 'x' to one side:
3x - x = 31 - 15
2x = 16
Dividing both sides by 2:
x = 16 / 2
x = 8
Therefore, the number we were looking for is 8.
3(x+5) = x + 31
Solve for x.