when 3 is added to thrice a certain number, the sum of the number is doubled and the results 13 more than the original number. What is the number?
3 is added to thrice a certain number ... 3+3x
now we get lost: "the sum of the number" doesn't mean anything
maybe you can provide clarity, as well as your thoughts.
Hi
Google
Masters
In Ghana
To solve this problem, let's start by breaking it down step by step:
Step 1: Let's assume the unknown number is represented by the variable "x".
Step 2: "Thrice a certain number" can be written as "3x".
Step 3: "3 is added to thrice a certain number" can be written as "3x + 3".
Step 4: "The sum of the number is doubled" means we double the sum of the unknown number and 3, which can be written as "2(x + 3)".
Step 5: "The result is 13 more than the original number" means the equation is equal to "x + 13".
Now, we can set up an equation to solve for x:
2(x + 3) = x + 13
Let's solve it step by step:
1. Distribute the 2 on the left side of the equation:
2x + 6 = x + 13
2. Move all the terms with x to one side by subtracting x from both sides:
2x - x + 6 = x - x + 13
x + 6 = 13
3. Next, subtract 6 from both sides of the equation to isolate x:
x + 6 - 6 = 13 - 6
x = 7
So, the unknown number is 7.