Question

Solve the equation by using the balancing method: 2n + 20 = 120

a) n = 50
b) n = 70
c) n = 60
d) n = 100

Answer 1

The equation 2n + 20 = 120 is solved by first subtracting 20 from both sides to get 2n = 100, and then dividing by 2 to find n = 50 as the solution.

Step-by-step explanation:

To solve the equation 2n + 20 = 120 using the balancing method, follow these steps:

1. Subtract 20 from both sides of the equation to keep it balanced:
   2n + 20 - 20 = 120 - 20, which simplifies to 2n = 100.
2. Divide both sides of the equation by 2 to solve for n:
   2n / 2 = 100 / 2, which simplifies to n = 50.

So, the solution to the equation is n = 50, which corresponds to option (a).