I am thinking of a number. I multiply it by 8 and add 15. I get the same answer if I multiply by 2 and add 81.
my number is x
result1 = 8x + 15
result2 = 2x + 81
so 8x + 15 = 2x + 81
can you solve this equation ?
test your answer.
8x+15=2x+81
8x-2x=81-5
6x=66
x=66/6
x=11
Let's break down the problem step by step to find the value of the number.
Let's say the number you are thinking of is represented by "x."
According to the given information:
Step 1: Multiply the number by 8 and add 15.
Result 1: 8x + 15
Step 2: Multiply the number by 2 and add 81.
Result 2: 2x + 81
Since both results are the same:
8x + 15 = 2x + 81
Now, we can solve this equation to find the value of "x."
Step 3: Subtract 2x from both sides:
8x - 2x + 15 = 2x - 2x + 81
6x + 15 = 81
Step 4: Subtract 15 from both sides:
6x + 15 - 15 = 81 - 15
6x = 66
Step 5: Divide both sides by 6:
6x / 6 = 66 / 6
x = 11
Therefore, the number you are thinking of is 11.
To find the number, let's set up an equation based on the given information.
Let's say the number is "x."
According to the information given:
8x + 15 = 2x + 81
To solve this equation, we need to isolate the variable "x" on one side of the equation.
First, let's simplify the equation by combining like terms:
8x - 2x = 81 - 15
This simplifies to:
6x = 66
Next, let's isolate "x" by dividing both sides of the equation by 6:
6x/6 = 66/6
This simplifies to:
x = 11
So the number you are thinking of is 11.