When you subtract 2 from a number, double the difference, and then add 7 you get 57. What is the number? And any explanation. Thank you
To solve this problem, let's break it down step by step.
Step 1: Let's assume the number is represented by "x".
Step 2: "When you subtract 2 from a number" can be written as "x - 2".
Step 3: "Double the difference" means multiplying the result of step 2 by 2, which gives us "2(x - 2)" or "2x - 4".
Step 4: "Add 7" to step 3, which gives us "2x - 4 + 7" or "2x + 3".
Now, we can set up the equation by equating step 4 to 57:
2x + 3 = 57
To solve for x, we need to isolate x on one side of the equation.
Step 5: Subtract 3 from both sides of the equation:
2x = 57 - 3
2x = 54
Step 6: Divide both sides of the equation by 2 to solve for x:
x = 54 / 2
x = 27
Therefore, the number is 27.
First off you do 57 - 7 which equals to 50. Then you take that 50 and divide it was 2 to get you 25. Now take 25 and add it to 2 to give you your final answer of 27.
Let the number be x
2(x-2) + 7 = 57
2x - 4 = 50
2x = 54
x = 27