Question

1. three times a number is equal to 4 more than two times the number. write and solve an equation for the number, n. enter your next step here

Explanation:

Step1: Translate the problem into an equation

The problem states "Three times a number is equal to 4 more than two times the number". Let the number be \( n \). Three times the number is \( 3n \), and 4 more than two times the number is \( 2n + 4 \). So the equation is \( 3n = 2n + 4 \).

Step2: Solve the equation for \( n \)

Subtract \( 2n \) from both sides of the equation \( 3n = 2n + 4 \).
\( 3n - 2n = 2n + 4 - 2n \)
Simplifying both sides, we get \( n = 4 \).

Answer:

The equation is \( 3n = 2n + 4 \) and the solution is \( n = 4 \).