Question

2 times a number increased by 6 is 12. The number is:

a) 2

b) 3

c) 4

d) 6

Answer 1

To solve the equation 2 times a number increased by 6 is 12, isolate the unknown number by subtracting 6 from both sides and then dividing by 2. The number is 3.

Step-by-step explanation:

To solve this equation, let's represent the unknown number as 'x'. The equation states that 2 times the number increased by 6 is equal to 12. So, we can write this as 2x + 6 = 12. To find the value of x, we need to isolate it on one side of the equation.

First, subtract 6 from both sides: 2x + 6 - 6 = 12 - 6, which simplifies to 2x = 6. Next, divide both sides by 2 to solve for x: 2x/2 = 6/2, which gives us x = 3. Therefore, the number is 3.