Four times the difference of a number and 7 is 12. What is the number
10
-4
16
20
Let's solve the equation step by step:
Step 1: Let's assume the number we are looking for is "x."
Step 2: "Four times the difference of a number and 7" can be written as 4(x - 7).
Step 3: "Four times the difference of a number and 7 is 12" means that 4(x - 7) = 12.
Step 4: Solve for x by dividing both sides of the equation by 4: (4(x - 7))/4 = 12/4, which simplifies to x - 7 = 3.
Step 5: To isolate x, add 7 to both sides of the equation: (x - 7) + 7 = 3 + 7, which simplifies to x = 10.
Therefore, the number we are looking for is 10.