The difference between two numbers is 33. If three times the larger number is subtracted from six times the smaller number the difference is 18. Find the smaller number.
6n-3(n+33)=18 <--- equation
answer: n= 39 <--- the smaller number!!
Good!
To find the smaller number, we need to solve the given equation:
6n - 3(n + 33) = 18
Let's break it down step by step:
1. Distribute the 3 to the terms inside the parentheses:
6n - 3n - 99 = 18
2. Combine like terms on the left side of the equation:
3n - 99 = 18
3. Add 99 to both sides of the equation to isolate the variable on one side:
3n - 99 + 99 = 18 + 99
3n = 117
4. Divide both sides of the equation by 3 to solve for n:
3n/3 = 117/3
n = 39
Therefore, the smaller number is 39.